{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# scikit-learn-random forest"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Credits: Forked from [PyCon 2015 Scikit-learn Tutorial](https://github.com/jakevdp/sklearn_pycon2015) by Jake VanderPlas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn; \n",
    "from sklearn.linear_model import LinearRegression\n",
    "from scipy import stats\n",
    "import pylab as pl\n",
    "\n",
    "seaborn.set()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random Forest Classifier"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Random forests are an example of an *ensemble learner* built on decision trees.\n",
    "For this reason we'll start by discussing decision trees themselves.\n",
    "\n",
    "Decision trees are extremely intuitive ways to classify or label objects: you simply ask a series of questions designed to zero-in on the classification:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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oUP74449kf4n5448/yJMnDw0aNEhyLiAgADB+TAAPP/wwPj4+bNu2DYADBw5w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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104e7a790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import fig_code\n",
    "fig_code.plot_example_decision_tree()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The binary splitting makes this extremely efficient.\n",
    "As always, though, the trick is to *ask the right questions*.\n",
    "This is where the algorithmic process comes in: in training a decision tree classifier, the algorithm looks at the features and decides which questions (or \"splits\") contain the most information.\n",
    "\n",
    "### Creating a Decision Tree\n",
    "\n",
    "Here's an example of a decision tree classifier in scikit-learn. We'll start by defining some two-dimensional labeled data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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I9xVVKgC9e6ESAKX+xKjw0NMkTZvM2Du3c/a/tHMbRz74mI6vTivlxhaeRqPh1PYtpJ4J\nRWVnR4vxk/VuA9jY2NC1gC8OgiAUjQjAz6m+P8wlqEYt2L8Hs8dJpNWqQ80p06jbsnV5Ny1f1YeP\n4tzG9TTN03OPsLTEecDgcmpV/m46OfEvYIE205YS6Atct7GlRr8BevtH/vIjo+/c1ilrlJLMzYV/\nkDZqXKkNJatUKk5uCSTt9i1cmjTFt2u3Ah9HS0tLY+fE0Qw6fBAPtRoVsHv539z6/CuaDRhSKu0U\nBEGXCMDPKalUSreZb8HMt8q7KUaTNW/J4f+9T8z83/CPfogEOOTiSvTkqfgbuRhDScrMzOTk+jVk\nPbiPU9PmOs9RXzqwj86hp2mVa38lsBgwHzmafk189OpyCDtr8DwBtyPZtm0znYePIurmDa4dPohr\nrdr4dOhU7Oe2b1+7yuW3ptP33BmcgTtmZmxu156uC/+mkqNTvscd+vozph7cz5PUJSZA7wf32fTl\nZ6T698TGxibfYwVBKBkiAL9gLh0/ysOtm5EqsjD3a1vkDFHPEnEmhJt//YGl/BpKWxuUnbvR9e13\njHpmttO0mSS8MpL169agUavwHTqcxu4eJdo+Y4SHnOL2O2/T/+plbIAoU1M2te9EwJJ/sLWz5+E/\nSxmZmKhzjCngb2rKrZ599OqTSCSopYavswLARMqWma/RePdORiYlccfMjJ0tWuHz029UrV2nyO/j\n8vvvMP7cmZzX1RUKphw6yPKPZtN7/l/5Hmd9/BiGWtv79i02r11F18lTi9wmQRCMIwLwC2TXl3No\n+dcfdMnOqBS3Yhnrt2yi/9IVmJsbv1LQs4SHniZjynhG37uXU5Z++hQrb0Qw8I/FRtXh6OSM/+sz\nS6Q9RaFWq7nx0WzG5loisZpSyZRD+1n+yQf0+WUeFjfCDR5bW6nk9OmT0LGzTrm5uTmJzVvCjq16\nx+yqXYfU8+cZu34NT5JEeikUTDhxjL9nvUmVzTuL1BO+evYMfgayZEkAl6NHstdZNnzf3STd8Gx5\nC0CVItIMCkJZEKshvSDkZ0PxXfQn9XKlM3QGJu0J4vAfv5fYeSIXLqBrruALYAW03bkd+dnQEjtP\naQrZu5uA8/rDxVLA7ngwarUahYODwWNTATM3d4PbHllYsh7tUDVoJ28dBa65uWFzaD+GVuftFnqa\nsODDhX8TQML9e1TOk7jjCYfkx6QaWP7xibQGjQyWh9jbU1c85ysIZUIE4BdE6K8/09hAr8YCMD1u\neN3YorC8dsVgecP0NO4c2Ffs+lNSUtj/5zz2ffMFZ/ftoTQWC0l+eB+XfOq1Sk5BoVCg7BbAZSAp\nz/Zt9erTxsBjQikpKchOHacnsAPYCmwGqgLNw8OxjoszeL5qCgWxEYZ72wVp2L4Dxz09DW6LqiPD\n2dk532Nrz3iTvVWr6ZQlSCRcHDQMr7qyIrVHEITCEUPQL4D9c3/EcXdQ/jsoFSV2LpWNrcHyLMDE\nPv+8x8a4eGAvCe//j8GRNzFHe182sHNXei1enjOD+GrISY5u3YjiYSypXt6Y16mLi4cHvh06I5Xq\nfp9MTU3l1Ia1qNLT8R08FNfse80+Pftw5Puv6RIbq9eGpHr1CVn1D2bbNpMmlXJCrSEeDa2AU42b\nUP3L73RWG3ri4YP71Lp3F3sg7/xok9gYdtdrAHGP9I47XakSsjzD2caq5OBIzOBXeLTgN1xy5YuW\nW9tgNWb8M4e1azVrQeTyNaxcuACr8Oso7OyRdg+g75TXi9QWQRAKr0gBWCaTSdFOCK2LNl3tFLlc\nXvEyKbwE4mJjcV28EGu1irtoe1y5qYFMX+MXvC9IZsdOZJ4N1RtO3eHlTatRY4tcb1ZWFrGffsjw\nyJs5ZdWUSl7dt4dVX35K769/4MiiP6j17Zd0zH6MSQVsAJyA/b5N8fzwUxp26grAqXWrUf34LYNu\n38IUODzvF86NnUjA7I9wdfcgZPAw4v/6A6dcPeFzDo7Ey+rRc87H1Mo1lK8BfqpXn9G7D+U70cyj\nsifXPKsgu39Pb5vczR2b0WO58dXnOvVmAhcDejKgGJOwen78GQdc3VDv3Ib5o1gyq1an0shRtB38\nSoHH1mjUhBq//1nkcwuCUDxF7QEHADZyuby9TCbzB74ChpZcswRjnQtcz/CYaCTAcmAQ5KxiowKW\nN29JxzfeLrHzdfvfByy7cYNue4KonZmJAthZ3QubT7/A1tZw79gYJzaup6/8ml65KWB9NJjk5MdY\nLfgd31zPEJsAI9AG4VHnz7F11lsk7DlEalIStp99TOdHT3u4XWJjuTNvLifr1sNv8FB6ff4N+zyr\not61A/P4eDK8a+A+fhJOC+frBEnQTmoaERHOhUMHaOYfwI0L54hYthTLB/fJdHOj+ujx1Gvlx8OA\nnmQuW6Lz5UQB3OkWQL/XZnDc2obTa1dR6VYkqY6OpHX1p/fHnxf5moF29nWX12dCnkltD7JXdnJ1\nFcPJglBRFTUApwOVZDKZBKiEdgRSKAexjx6xE2gIjAV2o+1ZSYBLDo6MXBeIXTGHhnMzMzNj8JLl\nXDweTEjwYST2DrQeO95gbuPCyEqIJ780FaapqZz+dx1D7t013Kbsf/vcuc3apYvQpKYy+pH+8HL1\nrCyO7dgCg4fmG7iCPza8yEJVpZIjF8M4r1RgNestxsTG5GwL3RVEyFff0+Or71mt0eC5eyd1Hz4k\nws2du917EPDtTwC0HTsBxk4gMzMTc3PzUlm7+fKRw9z7+Ttqn9U+mrTBrzWuM2fRsGOnEj+XIAjF\nU9QAfAywBK6hnWzbr8RaJBgl+XESB96YRrvDh2gMXEb7nzIQsEU7bJrUs1eJBt/cGrftQOO2HUqs\nvno9enP6lx9onZR32hOk12+ARKU2uDRebiaAaWwsKBX57mv2+PEz68hydQMDK03FSiTY1qxN7O9z\nGZUr+AK0SIhn/YLfkA4aQt8f5vL448+4ciGMlEePaNigod49Y0P3kEvC/Vu3yHzrdUbn+qLS+tAh\ndodH8GBzEJW9vErlvE+oVCoUCgWWlpaleh5BeFEUNQC/CxyTy+UfymSyqsABmUzWSC6X59sTdnUt\nXg/pZWHsddr75lQmBe3ImcbeFGgCrEN7L2Bjs2b0+OG75+K6azQaIs9Es1smI/70aXrwdHr+CQ8P\nGr47C+/mzTm44Fe639XvBT+ZYpYO2Po0RGpqSuqKZRjM5dSw/jOvieOoEUSHnsZdqdQp3+vnR5tu\nHUicMQWAG8B5tL1vNZBy6QK3r1+gVYcOHP52Dg7r1tHm3j2irK3Z26kTXf/8E4/q1QtzWQrtyNdL\nGWxglCDg3l02rfmbJj/9VCrnTUlJYcd//oPlwYNYJSeT3KABntOn02bYsBI9j0aj4VRQELHHjqGx\nt6fTtGlUqlRyXzCfh7+VikJcq5JR1ABsAzzpSiSg/Rx6Zrql2FjxcH9BXF3tjLpOsTExVNm1W+8Z\nMhPAwcKCZdPfovsbbyO1sK3w1z0xPp5Dr02kx/GjfKJQEAPMs7XFyqMyVg0a4TX5NTybtCJLAUlT\np3Ppu69zFrdXA1uAJ9mvNzRuQpfBo5BIJKz9+x8mnQnR6Qlv965B7XFTcq5JYnw8J37/BcuLYWjM\nzFC370inqdPZd/su9uvX0TrqNvetrAhr3Qafb34kJUVBhqkpt7KyuAHkzpisBObO+h/hXf3p+/PP\nPHmK2CktDZ+gIJaOHkvfjdtKZdj5CfXN2wZ7/hJAFRFZKr8LGo2GTaOGMmX/3qe/jzExhJ07x94M\nFb4GsoYVRUZGBjteHUefA/vwUypRAjvnLcDy869o2lc/L3dhGfu3J4hrZSxjvqQUNQD/APwtk8mC\n0Qbf9+VyeXoBxwglJPruHWomJhjcVjszE4fBQ4s1IaosHX3/HV49fDAncLgBb6ak8HNmFjYNG+Ga\na4Zwp2kzudTEh03bAom7cIkHD+7jk5TIFUsrDrXyo8nHn+UMf7ZfvpblX83B5vRJJAol6U18qPPW\nf6lSsxYAoQf3E/72DN54cD/n3Gn79/LP2TMMWfwPqTPe5mzoaRwre9JbVi+nDXtatOLekUN6Mw5N\ngbFnQ1kaE42hFB7dTp0g7MhBfLNnaZeGTFe3Im0rjrBDB+gRfFjvy6BPUhKrVyyDEgrAB7/5nMl7\nduXc7zcF+t+9Q+AXn5LWtXu5rJksCMVVpAAsl8sT0U64FcqBd916XK5aDa+7UXrbrnnXxLd66d7r\nKykpKclUPhZssNcWEHUb02++4PbSRVyf/RFtRo8DoFHbDrgO6P20F5uYgJmZOc1zLR6Qnp7OmVXL\nsYp7hLqODNp3oNvEKZiampKVlcX26VPQ7NzGG0qlzrmtgQE7t3Fm905a9OxD8876wbLG7I+4duoE\nZGbqbXNXq7EwMPkLtKknj167BiUcgNPT0zm1YS3KxARs2nfk8LbNdIqJ1tnnsJs79SZMLtHzPhF7\nNpTu+WTjsoyMLLHzWB0Lzgm+ufWJvKnNXT1pSomdSxDKikjE8RyytbXlUb+BJP3xu856wAkSCUn9\nBmJlZVVubSuM5ORknPOZFFUZkAM9oh+y7+vPienWHTePynr7OTg46rzOyMggaPQwJh49wpPs16lB\n21lx/BiDlixn/9efM3HrJoLAYOD3VKk4cuhgvj23Oi1acbNVawg+ordNA6Q6OECafkayK1bWeLVs\npVdurKsnjxO1ajkW0Q/JdPeg+tgJZCYmkPjph/S9EYEVcM7Wjr1Nm3GvsietL4YBcL55c+xmvE2D\nXL34kmRR2ZNkDGecVjjnvxpTYZkYuKaQnbu6gIl1glBRiQD8nOrx6Rdss7TAYud2XB8+JNazCoo+\n/ejxv/fLu2lGc3f34FCdOrS8eEFvWyjQNvvnbrExrF7+NwHvflBgncELF+gEX9BOWBi2YyvBgRuw\nOnwAc7T3j/OjNjfU13rKvFdfEo4G45gnneU+N3eqjJ9M1E/fUS1Xr1ANHO/UmQHNWhTYfkNCAzfg\n8v7/GJ0Qn1N2cO8uHklNGJGrx900JZnawYfZ9sEnRH2nnXA1qHsn4uLyzwldXG2GjWDboj8YdfmS\nTnmCRAI9Smb4GSCtXgMwkLLzrK0ttXr0KrHzCEJZEgH4OSWVSunx/ieo3v2QlJRk6tnalfiyg6VN\nKpWS1LEL8ksXkeUKZtFAGk97VRLy7wHlZXo2BEPrPjkDGcGHsXisHbo2yT5H3juHYdY2eBWQRarz\n5NfYJL+G78b1NEtJQQnsqlIVyfsf0++VkRyytOLk+tV437hBrKMDDzt2pts3PwLaSUuH/pyPetcO\nzOLiyPT2xnXsBHx79DZ4LrVazeMFv9MrV/AFSI2P15kE9oQdYHJgHw3ffgdALz1nSTMzM6PGj7+y\n4sP38D9/Fne1msMurtweNITeM94ssfPUfH0mB86F6iwEkgScHTCYAfUblNh5BKEsiQD8nDMxMaFS\nJcMr91R0KSnJOO4OIlqj4RLa2XxKIB5IQbuggQowk0pxaNveqDrzW5MX4K78Gi7VqkHUbXoDK4Ce\naIe7Ac5ZWXF1+ky6+zZ95jkkEgn9fpjLzUlTWR20HamVNa3GjMPOTpuDrPPrM1FOmUZMTDQNKjnQ\nMtf96V1zPqL3wvlPczdfv0bYqROc+WEuzQfqh9QI+VV8s4eTdd4nGLwnCmCaXLYzVGs3b0nNnfs4\nc2Afj+/fpXFALxoZuF1QHHVatubG0pWs/OsPrMOvo7CzQ9MtgH7T3yjR8whCWRIBWCg3J5cuZmjE\ndYOBJBDon/3zJYmEqzfC0YZLXUqlEolEwr2IcK4s+I07588avCcZBbQ9G0q4jS3HLC1pl5HBBLTJ\nS44BV+rI8J+/kO6FyJtds34DaubT+zI1NcXTs4pOWVxsLFU2rtdZOAG0M4av/L0YDARgc0srMszM\nIM9Ep8pAJFDDwLnTi5FbuqikUikt/QNK9Ry1mjanlpFrTgvC80AE4JdMUmICp5cuwiQ2BmrUpM3Y\nieU2aUt6Lyr/XlyunxupVNxasojUcZOwye5NRpwJ4ebcn7ALO0esSoVNWipjU1O1+a+BvoBr9vFR\nQDAwEmibmsIeqZTfGzSiakYaWfYOKLp2Y8o77+e70EJJOb97J0PzzFB+wll+jdTU1Jz394R3jZrs\nadEKn+Ou/V+2AAAgAElEQVRHdcpbAF86OTM7Pk7nGh72qEyNKdNKuOWCIJQGEYBfIleCjxA/6w1e\nuRWJKdrMURvWrqbJ4n9yno8tDvmZEO4E/otJVhaWbdrh06MXJ5YtxuRCGCpLSxx696dFj6e9WHWV\naigwPJSqzPPa/84ttm3fQufho4gKDyfxtUmMvnMbgI08TYphAoxHG3DvZL/HxoAvsAntL7xSrUZl\nZ0/7Q8eL/Z4Lw8GzCjFSKZ5q/SlgqbZ2+aao9Jr9MZvefJ3+t25ignZYfkvNWrT/+XfW7A7C8ugR\nTFNTSKvfAK+p06nbyq9034ggCCVCUhoLnhugEZlTClaaGWY0Gg37enVj1NlQvW3z27Zj2KadxcrS\ntPf7r2m04HeapGln3MZIJMyr5MD/EhNyhoMjzc0JnjqdXp9oVwBKSUkmpGdXXrmuu5LlBbT3OH1z\nlSUBB5csp12/gRz5/AOGzJuXs20rT4er89oCuKNNbZn7IaBjpqYkL1hk8L5radFoNOzq7c+4MyE6\n5Wpg+cgx9Pl1Qb7HJsTHEbJ4IWYPH6Co7EnrKdOolOcRrLO7dhAXuAGz+HgyqnlRd/JUWndpK7IW\nGUFkdzKeuFbGcXW1K/ADVQTgCqQ0f7EvnDxO7YG98TLQ+9oN3GnekkZffkvt5i0LXXfEhTAsB/am\naYpu2zOAPegGx3O2dmRsCaJ24yYA3Aw7x/Uv5lDv9ElsszIJtrOnflIieZd52FCvPu32H8XMzIwT\n44fTPygoZ9tmtItQ5KUG1qPtYRsKs4u8vOmy70iZTmKLOBNC5Kw36X/lMrZAlKkpO9p1IGDJ8mIt\nnHFowe/4fPcVddOfzhY/WNkT51UrqdyoaI8/vUxEUDGeuFbGMSYAl+4zCkKFkZ6UhK2B4AvaCUsD\nz4Rw5+0ZpKcXPqPozU0b9IIvaJfLynvGpinJ3NwSmPO6pk9Tev67BdPjoSQeOUWLoP3cbtgoZ31L\nDbDP3R27d2ZjZqYdrFY5O+vUKUU71JzXPjd3who0JL8VcTvcvsWBdi3Z9+O3RrzLklG7eUs67TnM\n7p/nsfqd2VxetprB6zcXK/impqZiteQvneAL0OXBfcK//764TRYEoZSIe8AvCZ9OXThasxYDbt7Q\n2/YAbdKLAfJrbF3xN12mTi9U3dJ8UhGC4WxThsqqVq1GYnw8pxbOQ1rdi1/NzJA6u+BevyFNJkym\ncq70mlVHj+Za4CbqZQ939wZWZb+HOmiD/j43dzLe/5hePr6k+3cEA18+FEC3mGgs5v7I8arVaDti\ntPFvuhjMzc3pOGZcidUXumMrfaJuG9xmf+YMaWlpIleyIFRAIgC/JCwtLVFMfJXr33xJ3bSnmZFC\ngCeL5FkC6vv3DB3+TI6du3Fn2RKqKxQ65Rq0E4ZyC7O2wbu//oDx/cibXB0/ipHXruQsq3XJ2oYr\n7TvpBF+Alj17suHdD7ixZCHdo+6gAGxq12Fvn/6EajRorK1pOmYCLm7aBQj2tGlHy2PBeue8hnbp\nRklWFke3boIyCsAlzczGlnTA0Fx2pbn5c5egRRBeFiIAv0Q6vTaDs9W92TH7v9R+8IAsoB7QMHt7\nMmBWR3fANvbBfc78+hNWFy+gNjMjq007Or/9js6M3Wb+AQT2G8DowH9zJlypgXlA7pxSUWZmnBs3\ngT5Nck+v0rrww7eMvXZFp6xRWir3Fs4jcdQYHBx18wp3nv4GKeMmELg5EFMLC/z6D3rGLOKP2PzG\nNPrdisQku227AO/sfxVAchG+eACcCvyXx4EbsHwUS7pnFTzGjKdJV/8i1VVUrXr0Ym/9hgy/ellv\nW5ibG4lD+2H14AHplStjPmAIHV99rUzbJwiCYWISVgVSVpMbLh7cj9NrE/FNTNQpX9a0OQHb9+Tc\na42LjubciEGMzJXnNwtY0r0Hg1es00lzqFKpWDh+JD57diFFG9TaoM3pDBBpbU3t+X/Rqo/h+cqH\n2zRl6A394XEVsP7L7/Cf+npOWUHXKTExgfT0dDw8KufM7I5/9IiN/5lJnd07MUWbgjITCECb0P+w\nmRm3Jk2h9+ffGD0b/NCC32n+7ZfUzHh6B/q8gwMPvv2JFoNLdjH6gpzftQPVe7Pokb28YgbwvZsH\nkxPiqJJrZOKBmRmH35lNt//8r0zbV9GJiUXGE9fKOGISlmBQ4y7dePDtT6xu0YpTVtbsc3ZhWe++\nNP9rWU7wBQiZP5cReZLsmwND9+3h5OZAnXITExM6zXybhhYW9Ec769gT7Qzo/oBbi1b5Bt9n0QAY\nGRAf3r7NzgmjuOPXjKzWvhzs1Y2QDesAcHJxYeLfK3ncsjXt0d6H7o922F0CdFYo6LN4IcHL/zbq\nXOnp6ZgtX6oTfAF8ExNJWvQnZfTF9ul5e/ah2u6DrHr7HdaNnciGjz+jka2NTvAFqKxQYLF+DRkZ\nGWXaPkEQ9IkA/JJqMXgY/jv2Yn3qHN4nz9Jn2Wo8vHTvtVpevmRwwpSrRkPGKf0kFg392nKwUxe9\n+77XbGyoNHLMM9uT3szw40/7K3vSctjwZx4LoFAoCJ06gfE7t9MtPo4WGRkMPxtK1fdncWH/HkCb\nHrLt0hXMr9cAQ4PErioVWbt2FHgugMsnj9HWwIQ2gBqXLxEd/dCoekqSm0dlenzwCV1/+pUa3QJo\nkk/7fG9EcDPPs9eCIJQ9EYBfYhKJBA+Pyvk+B6t+RopKlaWlwfKAhX+zYvQ4Nlf3Zr+DI2tatCL8\nq+9pOeTZKwz5/O8D1jRopBO8L9ja8XjaTGxs7Ti6bjX7v/+aE5s3ojYwo/nE+jUMOXdGr7zJ48dE\nr1qe89rF3YP6nbvk+4tvZuRCBjaOTiSaGU6kmWxtXe5rMju5uvGgkuFHm+7b2eHs7lHGLRIEIS8x\nCUvIl6RzN5L27CLvx3ionR01h400eIyNjQ19fpmHQqEgPT2Nxnb2Rt1Treztjc2Wnaz5cz7mEddR\n2lWiyvCR1HRwZE9vfwaeP0slIFYiYdU/i2k6bxHuVarmHK+ICMc+n7ot7t7VeW3e2IdHgIuBfe8Y\nuXxfPZ+m7G7ekron9UcC7vm1waecV6hydXXlVLsOtN+5XWcUQwNcb9+Rvu7u5dU0QRCyiQAs5KvT\npCmsCztH180bqZ2ZiQY4UcmBu2/+hy6NGj/zWDMzM8zMCpdcwr6SAz3e+1CnbOewAYw/fzbntatG\nw5hjx1j24bv0XbY6p1zq6ZnvozhZrq46ry0dHNkAvIbuENBBwCxL955pfiQSCdLBQ/nx6mVqJSWh\nBhoBJ3yb0WzO10bVUdr8vvuZFRlpdD5yhOpKJVGmpuxp3ZY23/1c3k0TBAERgIVnkEqlDPr9Ty6O\nHM3pvXvQmJtRf/houpTAwg3GiAy/js+pE3rlEsDrxHHi4+NwctJmxfIbM4HNK/5hZJ5HmSItLbEf\nojsjOeHSBcagXcTBDG0QzkL7OFZCUoJRbTv292IafzWH0Y8fA9qeZaCTMzW/+JbK3t6FeJelx8Xd\ng7H79rF3/RaOXbmIU/2G9OvqX6yc34IglBwRgIUCNW7bgcZt82ZnLn1JsbE0yGe2rkvyY5KTk3MC\nsJWVFTV/W8DyTz+gVWgITgoFx2rWQjF2Il0G695/tvGuQRZg6EGhMBdXA6W60tPTkfw5jybZwRe0\nXwqGxMex8vdfqN96nbFvsdRJJBKadu0GXbuVd1MEQchDBGChwqrXrDkhNWtRxcBsXnn9BnSoWk2n\nrKZvM2psDuL6xQvcio+jhV9bLA1MFmvdfxDbFi5gQp6VoWJNTDDpN6DAdoXs3EavyJsGtzmeP0NG\nRobB8wqCIOQmZkELFZalpSWZI8cQlSfDVYSNDWZjJxpMsSiRSJA18aF55675BkETExMa/7qAf9p3\n4qqFBYlAUJWq7JrxFp2mvG7wmNykJqZ6j1o9oZZKxRCvIAhGET1goULr+tYsjrm4cXTzv1jERJPh\nWQWvKZNp17V3seqtLqtH9cBtXL8QRvi9uzRq34EWdvnNo9bVqndf9tSpy5Dw63rbElu0yjclpiAI\nQm4iFWUFIlK8GaciXKeQf9dj//Fs2sc9ArQpMzfWrUfNxf/gVa9+ubYtt4pwrZ4H4joZT1wr4xiT\nilL0gAWjRF66QPiiP7G4EYHSvhJmPXvTYeyEl3a4teXQV7jVuDGrli/DLCEOhXdNWk99nUoOjgb3\nz8rKYufqYKIvKzG1VdB9vC/Vvasa3NcYarWaQztPcv9aMi5eVnQf3E6seiQIzxnRA65AKuo3y/DQ\n06RNnYj/3aicshgTE4KmvE7vz8v+mdfSvE5qtZrMzEwsLS1L7MtFQnwCv4zbi+PpV7DADg0aYl2O\n0OaTDHqMaFvo+qIfxvLHawexOdUXG7U76cST1HQ7E39vTo261XX2dXW14+HDRAIX7+f2YTXqTBMc\nG2UyaGYbXFydS+T9vQiK8zuVmZnJzlVHiY9UYFdZQp/x7bGxsSnhFlYcFfVzqqIxpgcsAnAFUlF/\nsfdMHMPoHVv1yoOdnHHYdwSPPLORS1tpXKfMzEz2zfkQu0MHsElKIqFGTWzHjMevgBzWxpg/awus\nGI0kT2bth9W28e7hFtja2haqvh8mbcJ6+1i9+hI7reSDDbqzuF1cbJk9bAkmG0dggfY8GjREN17L\nzNV+uLkbygemS6PRcGDrca4f0l5zWRd7uvRr80KNfhT1d+pWRBRLp53F6cIgzLFBSSaxdbYw/Lda\nNGpetxRaWv4q6udURSNWQxJKhNWlCwbL28fHcXHb5jJuTenYOWMqo5f8xZAbEfR8FMvIkFPUff9/\nnFq3uuCDCxBz2kovWAK4RPVg91r9VJbPkpiYQPKJqgbrU55qTIRc95GtI3tCUG71zwm+ABIkuF8c\nwabf9JOc5KVWq/lpxnrOvtYUzaphaFYN48xUH36asd5gTu78aDQaju8/w+q5u9m76SgqVX7zyJ8v\n6z87i8eFMZij7fGaYkHl8FfY9Nm1Ml8RS3j+iAAsFEiVz6zeDMDU1q5sG1MKIi6E0Xr/XvIurSBL\nSyV5zUqDx8Q8uE/Qpx9yaMwr7J0xlXP79uRbvzrL8J+ZCWYoMgsXiJKTk5EmOxncZpHhzqMY3Uxe\nYbsfYK/w1ttXgoSEiwU/q7xrQzD8OxAb9dPc0TZqD/h3IHv+PWpUmx/FxvH5K+sIHleTxK+HEvZa\nSz7vs5Wb8ttGHV9RxcfHkXzS8H18yZlmXLukP0teEHIr8iQsmUz2PtAPbTa/eXK5/J8Sa5VQoaT5\ntUN9Xa73bW1nzVr4DS14qcCKLvLEUUalphjcZhV5E41GozPcevvqFaImj2VsRHhOPzR82xb2//dd\nur09S+f44xvWUDV9EXb8ykPqouBN7GgEQKzzUQYPbFqotnp6VkEi2wcXffW2pdUIwadFa50yiXn+\nvTCpecHB/8ahDKwNLFthjQsRh9LhGYtcBa05xtk1SVw/d4dWme/k9NqtccH67DhWv7+CjwK98q+g\ngktPT8ck0/AXUDOFA4+Tyn5JSuH5UqQesEwm6wy0kcvlbYHOQM0SbJNQwbT/eA6L23UgLvu1Ggiq\n7InN+x+X+7J7JaGSV00e5LMKksLJWe9e57Wfv2dQruALUCcjHeclC0lMiM8p2/3VZ7R4eyYfPQzl\nLQ7zDYvwox+POUGK2T2qj7pL5SqFWxbQxMSEZmMteWwdrlOeYnYP2fAsvf+PgHFNeGR/Wq8eJZl4\nti14iFTzjBitfsa2oNVHCZtdC5uTfXHObGJwyFwS0oIrF57fdYk9Patg0jDC4La02qdo2qpJGbdI\neN4UdQg6ALgok8k2A9sA/Rk6wgvDvpID/f/dypH5f7HutemsffcDvPceofmAwfkeo9FouHs3itjY\n2DJsadG07NGT3c1b6pWnAZnde+iVW50/Z7CertEPCf13PQCx0Q+psno5VRS6qysN5RZ27m/jM/cC\nkz7uW6T29pvQiRY/R5LSZR0xss087rCe+t+cY9R/A/T2lTWoSZ2ZUcTZPl1RKlUaTUqvfxj+hn+B\n56rqZ0Im+qMDmaRQ3S//AbQza5KwT69DFilYYnhpRsvMykTffVRgGyoqiURCmylOJDjo/j48tg7H\nd4IUc3PzcmqZ8Lwo6hC0K1AN6Iu297sVqFdSjRIqHhMTE9oPGwHDRhS475ktgST+OZ+6ly8SZ25O\naEs/6n/yOd71G5RBSwtPIpHQ+OffWfbOW3Q9E0JVpZLjjo7Ie/ejT57lEQEwMfy9VQVITbV/Uuc3\nBzIiny8fTcwf0mFY+2K12X9wG/zz//6jY+TbAVzzD+fYhnWoM01o3s6OLn1HGDWLud/YTny3fxXS\nveMwy17sUUE6qd1X0WeMoeUstM88p9/UZhWzxpU7HDO4X5LnCVp0eL57if6D/bB3DOP46rWk3TPH\n0k2B3xBnOvfrUt5NE54DRQ3Aj4CrcrlcCVyXyWQZMpnMRS6X5/t11tX1+Z+sUxae9+t04fBh3GbP\nomdc9oB1RgYd9u9hfcwDGp48ibW1dYmcp6Svk6trS5qdOEbo/v1cuHGDpj160D6fZQXV7duBgQUi\n9nt50Wf6FGxtbXHycCYTw+sTS62tyvT/2dXVDtcuzejQpVmRjv9h+0TWzNvDraPaMee6HU0ZOWMS\nZmZ5p61paTQazF0yIRakSLHCkTjCcaZOzj5p0kc0GJdOjRqepKamYm1tjTSf2wBlpaj/J31eaU+f\nV0CpVBIUeITE2FSUijQqe7oXfDDa4zYvP8jdcxmY2SsZ8Fprqlb3LFJbysrz/jlVURTpOWCZTNYH\neEsulwfIZDJP4DBQVy6X51eZeA7YCC/C83V7Xp/C6I36y/FlApvmfEm36W8W+xzlfZ2i70ZxdsIo\nRlwI48kg46lKDjz8eA5tx00CtBN0Qru0YfBN3VWTNMDyUePoPXdembS1vK7VXx9vJWPhUEzRzqC/\nzVFSiUZjkY6nrwV1e5uiUqiRb1GjuO+AiWsSNXopGfder3IJxMW9TqFHLrH109s4XO6JBZWIdQ7G\nc1gUUz7r98yRhqSkJH4Zvwv748OwpBIaNMS4HqTdHCUBw9oUuT2lqbz//p4XpfYcsFwu3wGck8lk\np9EOP09/RvAVXiKW9+8ZLLcAJHfulG1jSol71Wp02BzEhg8+Zd0rI1k5+TU0m3bkBF/Qrk9s/d5H\n7HFz58kfxmNgSavWtP3k83Jpd1ma8HFPFENWE2envffsbFID11apzNrny4fbepKVpuLeNx1wvTgM\nz7juuF8bSsIvvVn0yfZybnnhpaamsuW9B3hcHoElDkiQ4BbXkeS/erBp8YFnHrvqq8O4HJ+EJZWA\n7Ge0Y7sS/F0GKSmGZ+YLL44iP4Ykl8vfK8mGCC+GDFfDC9orAJVH4Wb8VmS2trYE5HnkKK/mg4YS\n06Ydq/9ejNnjJEwaNKL3iNH5Dt2+SMzNzZn1x1BuyCM5G7wenxoutO06EIlEQlZWFuGBprip3HSO\nscCe+9tcOTcgjNBtUahSzHCpL6HfuE4VeoWpnSuP4XpDf0KdldqF67sUMCX/Y2NOWeJmoB/keqcn\nu9dtY8hk/Yl1wotDLMYglCi3EaO4fGAfDVN0h6i21qqF3+Sp5dSq8uPmUZmA9z8u72aUm1qyGtSS\n1dApe/jwAUTWMLi/zQMfFg3fTqOUyQDcJY2vNq3lreXdcHYxnICkvKU90uQMteelSHj2l61nJWnJ\nSlMWu21CxSYyYQklyte/BxGffs6/9epzF7hqZsbK1m1wn7sAOyPX2xUqpotnrrLog5388Z/dbF15\nEEWeR6yM5eTkhNrFcJKKBCKolvL00S9zrHEPncjab4zLulXSVCoV506HcfH85XxTS1b3tSdF+sDg\nNtuaGc+s36lRpsHyR47Had/fp3CNFZ47IgALJa7t+Mm03X+Ua1t2Eb/7EAFbdyFrXTEnlAjGWTN3\nD1uGWqJYPBzNqqFE/LczX4/cSFpaWqHrsrW1w7lzNGp0M3lo0BDPTSqhm95RgoSY0wWnzSxpezee\n4IvuewnqW5VtvVz4otdOTh4I09uvc28/0jtsR41ubuw4l5N0nOD9zHP0fENGrFeQTlmaaTSeI25T\nzatKsd+DULGJ1ZAqEDG70DjiOhkvLiaGTfNDUKWa4ulrTq8RHTA1Ldydp9uRUfwdkIhbku7SiWpU\nWM1cz+RPCp9QJDU1lflvBJF5yBfHFB+SrK7xoMo2vCNexRr9ZRIf1trE5ycKThxSVHl/py6eucbm\n0Rqc41vp7BftuZvXttfAs2plnfLHjx+zfM5Bok9Yo041pVKDDDpO8cSvW8G92Mjrdwj6K4zkCCtM\n7ZTIelrRZ1THCrvalPj7M44xs6DFPWBBeAGoVCoObD9B3N0UGrbxonGz+mxafIiL37vjkqhNnhK+\nPIkzget5Z3nfQi2BeHj9JVyT9JNuSDEh+nTRJpTZ2Njw7tKhRFy7ycWQQLo28cbRZTAL/a9gHddB\nb38XX8NDtaXlyMoInONH6pW73Q8gaMlaJn+q+6XD3t6emT8PQKPRoNFoCvUoVY261Zn+Y/WCdxRe\nOCIAC8JzTn7xBqtnXcLufC+scWab1VU2tVtJRpgXVROf9uAsqYT50cms/m4dU78wvteqVmIwlzOA\nRlm8XlrtejWpXe9pKnmvsWeIXRCFbZZ2jWkNGmJrbWXsmw2LdZ7CynpkYXBalQQJmbH5z8iWSCQV\ntucqVDwiAAvCcyA1NZXAPw4Tc84EiamG6u2k1K1nzoPVK9izpza1Ur7O2dchvT6qfbW5SiB5F8uT\nIiX6VOFyFDfv5c3WRZdxTNMNgho0OPsUv2f64G40m345TVyYJRJTUzI7rkNj5opJhi32tbOYOq0F\nntXK9hE2y8qZGLo5p0aNjWdWmbbFWCkpKZw8eA47B2tatW8mvgg8B0QAFoQKLjU1le9Hbsfl5ASs\nsv9ko4JSOGIylCqqh7jxs94xJphhggUaNHq9V3VW4T6YGzerz+FhG0lb4Ya1Wvuctxo1MY3XMuNt\nvyK+K624R/H8MTYUj8ujcu78qlHzqO1SPljfucAFDVJSUlj38yFiQs1AI8HZN5NX/tsBB0fDC0AY\ny39iA9YEHcEluqNOeaz3dkZMKd57fkKpVBK0Npjoq5lYOKrpPbE1zs7697+NsfbXvVxZbo5jVCcy\npYns8tlOv09q0axdxcy/LmiJACy8kFQqFUG7VpGRdQuJiQqN0oGWzfvj5VWrvJtmtGPLl5EeuB7l\nlXBqJdYmigwcmYkGDXK24qb6lvtEURfDs2WlmKBCgSm6Qcy5CPdTZ3w/mB1NDxG+LwNVmhTHhlm8\nPb0dTs7FezZ30/zjuF3WXVNaipRKx0ewY9VeBk3Mf+JVZmYmP47ZgcvxiVTCBADFKQ0/hy7j3Q09\nC3WfO6869WvS/ZfzHPhtLVnnaqExUWLd8jZD3q2Fi2vRgmRuj2Lj+G3ifhxOD8WSSmSg4tfVu+jx\ntS3tehYuZ/fejce4/WMzPDK9AbBQ28G5UWx6J5C6e6sX6zoIpUsEYOGFtHrd93T0l2Bl9eTDR8OJ\n4CXA5OciCB+c/xt+335B9cwnwTKae5ziJ+KJpgV16YMllbDChbucohr6vTKVxx2yYpIwze61atAQ\nIwtk0hu+hW6PRCKh76guMEq3/HZkFAdWXkSVLqV6C1v8B7Yt1ASkx3ILLA08DWmBLQ/DnrHgMLB9\n+REcjo9Cmh18QXuP1vXMWDb/FciY//Yyuh2GtPH3xa+bDw8e3MfExBR390bFqi+3VZ8H4356Us7o\nhBQTPO72YffXG2jVTVGobGlhmx9jlx18c3O90Zfty7YyYqb+kppCxSCeAxZeOGEXQqjfOAMrK92e\nX5sOLoSc2VJOrTKeQqFAum5VruCrVQUlvqwgk8c5uYMrUZVEIvXW7E2yvcLAT+rSalEYGb3Xk9pp\nI2ZT1vD6Ol+8auW9M1w0W/8+zN8940j7/RWyFg/jwuvN+XLkOtLT042uw8Q6/yBrYvXsTFAPz2kw\nR391LRNMeXTRxMARhSeRSPD0rIK7u3ErGxlDo9EQe8rG4MQ2x2s92b/V8PKN+VHEGQ7WppiTFlOk\nJgplRPSAhRfO7Tth+HWqZHCbxCShjFtTeHfu3KKh/JrBbZ2JYD1ROmUNeQU529CgRiONo1p7e/zG\nONNloB+urnZ07GfcM5sZGRnExETj4uJa4LKRsTGPCP3JEo+Ep48MWWvcsDg4idU/bDD62eB6PWy4\nuOMh1irdSVbxtmE08TFlwawdZMaaYVUli56Tm+Bd++njOlJLlcGJUtpt6ny2lD+1Wo0m0/AXBDOs\nSU0q3C0Cq6qZEKpfnsFjqtYp3IQ7oWyJHrDwwpFghlpt+AP4Xvhj5k7aw4ofd5KSYnwygdu3b7Iz\naC2nTh3ONyVhSXFwcCLawdFwO7BFiu5arFJMqM9AqtOatu9lMPvf3nQZ2Nro86lUKhbP2c43nU7w\ndxsV33YI4Y/ZW56ZanL3qhDcYrrqlZtgysMTxg+fdh/SjviAJZwxn08cEdphcqcj4H+QsDnVYMUI\nLHYNQb1kJP8MfUDokUs5x/r2dSfJIkKvzlSTB9QPqLjr1ZqYmFCpkeFRglj3Q3Tu36JQ9XUc702C\nc4heeWKzQHqNaF+kNgplQwRg4YXTxq8PISf0x96yMpXEbmuF+fYhJH4/hO8H7SM2Ou6ZdSmVSlav\n/Z7I+0to3u4edm5HWLXuQ25Gykur+Tg7OxPZroPB3t0W6qHBlGvoDqWrUJLacQuj3h5f6PMt/Xwn\nyQv64R7ZH1eFDx5RfclaOpSF7+e/NKA6S4I0n48PVaZxHyt3Iu/x5aDNVNo7juZZM1CYJXKl3teM\n2WqP8npVnON1v0S43vdn76+3c1636doM99dOE2d7LqcswfoyNhP24D9QN2tXReP/eg0eVT6sU5Zi\ndo+aox7h7FK4SV7N2jWkw48pJLRZw4NKh7jvHkR6/xW8vqT9S7Hy1vNMpKKsQESKN+MYc52Cg7eT\nmP1eBZ8AACAASURBVBZMSz9XpFIpd28lsflLS1wPfoYJ2g8lDRpMJq1l2rf5D5du2ryQFu0TsbDQ\n/SDbs+MRo175stQWj4+Ljubo65PpcfI41ZRK7iLlb9qRzAps8CKeGzzkPBqJEkeZEq8uEsbM9sfK\nykqnHkPXSqFQsHNtMAmRCixdVFxcakqVO0P02hDtto+3jtTByUl/pvOV83I2DbTSezYYQD1qDTPn\nFjwE/cWgQJyP6X5hUKEgrtc8LIOGYa/3FDNE25xgxik33NyeLmV47VI4JzdHoFFDy341aNS0XoHn\nzqs8/vaunA/nwFI5yZGWmDsoadDXhl7D9bOAFUZCQjwWFpYF3kIoDvE5ZRyRilJ4aXXo0JfY2Fac\nDN7J8S0HMQ2yxTxLRgYJ2KD98JYgIfbss9eZzVLfwsJCf43j5q2tOHX6MG38uhSpfRqNhqysLMzN\nzQ0mTHB2d6f/xm2c3b+X4MuXOH4iCccD32KT/UiRE7VwpCaP/f/h/VX6wTM/dyLvsfi1UzieH4wF\ndiSRziP+xZJwnKmjs69VTANuXgvHqa1+AG7gK2Pv4H9JX+mJFU+Hy2PqbGbCzILzH58PuYhJiH4v\n1QQz0s57Yobh+6AaqVLvS0+9RnWo16iOwf0rsga+dWjwW8m229GxYi7ZKBgmArDwwnJycka56wRv\n7dhOY6UCNbCZ+QTzBQ5o15t9VrIgjUaDiYnhrEfOLjbcvGZ4Sb1n0Wg0bPzjAFc2K8i8Z4uZWyq1\nemsY9kZnglYfI+ayElN7Jd3GNMa7VnWa+weAfwAdp2Uy/z+rSNhbD8ek5jy2uo60bShTfu5cqPOv\nmxOKx/mnvU4zrPBhLBdZqxeA053CqV6rWr51vfnTEDY12M/NA0qUqSY41Mvg1debU9XbM+e9KhQK\nVCoVezYeIyNFQaf+zfDwdCcq/CF2WS0N1muR7kpao2AcL+k/Lmb9f/bOOzqq6+rbzzSNRr031CVU\nQCAhRJNAoopuXACDe7cTJ3Ycv3njOM1xnLyJy2c7cUni2AGMwfReBQgkJAQI0VVAQhXUuzTSaGbu\n/f6QkRjPqCKaM89aXsuce8+ZM3eu7r5nn71/e2wZLi4DT6MyY+ZuxGyAzfxgOfyPT3hk/VquZwJL\ngQcpR8GvSWEO1njhEt1zvVaJRIJeazqYJze7lvDQ+QOe09qPkrj2bhwu16N+q6H6YgMvrfqQqMr/\nxQJrdIis+PYoE35TwtxHO4NolEolP/9sMSVFZZzN2EXwCF/CR/e98hUEgQPb0riS3kKHvpXiFAmm\ntJHcGUUNebgQ2tkPPXbTruDm3rMohEQi4cHnZsJzhu0dHR2seGcfZYcsaKtQ0KipwEYTQBCz+MfH\nqfgsP8nYeX6kWaTg2zHDaFxFQDVTX/Hj0BvJuFZORYIEAYFq/5089L/BJueiVqtZ9c4BKtIs0atl\nOIxoZ8ZLgURNCu/zGpkxc6cwG2AzP1gkhw9hSgNoAZUk8RktMcG89gtjA3Aj3sMmUXTlGP6Bdl1t\nHRodpVdsiZ8QOqD5dHR0kLdJgvv3Um4sccCpMg6BzrxXCRLcaqeQ/v92MGVRMzY23S8Bvv7e+Pr3\nnsfb3t7O4ZRtqNVVpH7RxrDMn2IluiEFnDhLLtsIY5FBHxVOFNntwLLJEbXjJWynXeal9wcnZPHJ\na9uRb3gEjxvKGdSSTzEp+NcmUPd5BZ9u+gpZhz8eqA1yeevl+YxZbk38/Bj8RpSy/6tv0dRYYOnR\nTrCLnuMbOsjaf4U5T43Fw6szN1cURT54ZjuOh57B7booRzHsOJOC7Ms8RsUM7HcyY+Z2YTbAZu4q\nzp47QWlpLna2rsTFJSKTDV5QQd7aarJdAjhOPM8z377SZ7BK3KTZpKVD8r5jyC2a0enkyCV+LHno\nuV77maK8/BrSK6ZXcO6MpoY8vOmuXuRaOpt963bw0LOJA/iMUpKS/07CTCf2rWjC/+R7KOguZu9B\n5/7sjatdAHXQcX6zIZ6S/PMEhPrh4dn3Pq4prlwqonXfKJy/V0vImWAqOUsZJ2jSlyIvD0CKguP8\nDWeGI8cSDS3UkcMDUZ0BXH4BPjz/Rx/q6+r56Mkk7I8vwRI7OhD5fM0hJv/hCrMemkTqvhMoj8wz\nUMQCcC6P5+C/15oNsJm7FrMBNnNX0NraysYt7xIxBsbH29PYWMrajUeYNO5JggIH50ZsCwuHzBNG\n7WVyORNffrTfkaJxsbOB2ej1eqRS6aCrzDg5OaFzvgCVo42ONVGKLYZF3mUo0Gp6l2P8PilHv2HO\nws4VdvVxPxxvML7X8SCSHLZ2GeAmywJGPSFhmPcwhnmb1pXuL1kpOTg3LTV5TIIMGQpG0O0619BC\nHtsJ436kyMjVbefounxGRHUbzW/eScHteLdsowQJ7lUzSP3rVuLmqik81YCN3vS8WwpUJtvNmLkb\nMOcBm7kr2LXnXyQusMXH9zuJRXsVifPcSD/+9aCFL0b++BV2BBoG8nQAO2ckMjZx4O5VmUx2UyXe\nbG3tcIovR8BQJEREpJZL2GMY8FTtnMrUB/ovzN/e3o7SqjuvWdD27D0Q/C5TP2Yr6tnrGfdxAYt/\nZCyq0Rs1NTVcuVKATmcoF+kV6EqL7Krp+dGAB4YBVEpscCSQZq4BICKgazZM+ao6rjIp2+hcNIf9\nG9KxsBPRY1o0RG7Xs5iIGTN3GvMK2MwdR6fTIVWUI5MZ13yNHKsk63QGY6MnDXhc7+DhCCvX8s1n\nH2N54QJ6lYqOuMksfP2NO1Yr9fm/zuaTlhXojozDUR1Bo+VlWkcdwL7SAUq6z2u1KMPvsWt4eI7p\n99g6nQ7ZDX/RdiNLETOMyxE2y0tZ/uexTJ5lOgq5N8rLKln9m2M0p/kia3aB0EOMftyCB56bCsCk\naWNJitmCzXHD/F4t7bRSZdKQejOBS+xETQ2OBOIcbihyInSYXifIUaJRa1nwVBzvrtyNZ4nhvnYb\ndWQXH2fDv2HRE9P7LG1oxsztxmyAzdxx2tvbUVqaXuW6uFpxvqh80GP7hobh+/Hng+4/1NjY2PDG\nyiXknLvExcyNxI3yJmrc45QWXWXXP9fSnG+Bwk5P5Hw7Eh8cWJS1jY0N6pbugK25LylZceIDvM7/\nvEu1SkMLkoV7iZv5cE/D9IggCPzzR6m4HX8aa0BNLbU5TWS+pcfaPp3EJbFIJBKe+CCGVa+vxPLU\ndGx03lxTpFOqTMamzRNMeNTV1NBMORKk2EVXs/BpQ++E06h2KDbuV+2cykP3R2Nra8ecdxzY+/Ym\nnPPnokBFKWnUcYUJJe9R9mYrv1+1kRf+PY6AEF/jgcyYuUOYlbDuIv5bFWZEUWT95t8zLdG4iPqp\nE1WMHfUabm7d1Wj+W69Tfzhz9hjVDbuIjO4UZGiob2PdX5oo3j0cqaDCdmwlf1n/0y6JQr1ez+Yv\nD1KaIiBoJThHaVn8kwRsbY3Trw5uS+P0C9EoRSey2YgN7rgxigYKqXQ+xPvpj+Dg2PkbiqLI8SOn\nKLtSQ0zCCPyDfPn8jW3ovnq4S4nsOhmyD3DzsyEwzpYlv4zF1c1QivFi1mU2vlCNa0l3Wb1WxTWc\nXjrMs79d2NVWW1vNL2I30FKvIYonccDPYJymGat5Y63hKvk65nuq/5ivVf8wK2GZuSeQSCR4e8Zy\nJf8YgcHdVYyamtppaRhmYHzN9E5U5CTyLtmSeiCJqwWFtOX4oj+2iGh1p/HSpDXx9V928cxvFyCK\nIu+9uB7l9kew/C5hqzVZz3upq/ifbxOxs7MzGPtaXjNWohsX2UgYi1DQGeBkjQtetTH889WV/HJV\nZ4CVRCJh4tQYmNrd/+m3ZvNhxUrEQ1NwaA+lnUYaRu3il+9NY2R0z4pQI6OHY/mNgn3/WkNzgQqF\nvY6IeVbMfXihwXlHtp8msH4JbdQZGV+AtozhlJdfw9PTa8DX1YyZW4HZAJu5K4iLnUPGCQWH96cj\nlTUjCJZYWw5n8YOP3emp3XOEhkRgb+vKP94ox61+ikHtJCV2FO9W0fHLDo4mZSLduRDlDdnSUmS4\nZT7Jpk/W8/Sbhi5wtyBrrlGBDIsu43sdCRI6UqPIz71CcFigyXlZWlryqxUPc+bkRXKObcTBw5JZ\nD85FLu/7MRQU6s+PP/Dv9Ry9VqCDFiwx9qQAyFodaGpsxtPT5GEzZm47ZgNs5q5h4vgZTBzfuzCG\nmf6Rd7YA2/rxJo9JrnpTW1tDfkoTNoInlVygmau4E4ktHkiRUnPG+NEw8/5YDv5jNVZnTQeG2baG\nkH/xYI8G+DpR40YSNc64iMPNMv2hcZz9OJeq6nacMc63FkacJyi48/6qq6vlWlkF/oF+2NiYkmsx\nY+bWYzbAZszcIdra2tBqO7Czs+/75AESPNKfw/a5qBqNo8dFz2s4OcXS1FJHPt8wjPH4M5WrnKSI\nZEayFKmJKnYymYyXPpvKB4knoTXO6Hij/VlGxvTsShZFkcO7M8g/2oRErmfSQ0GMjLo5kYz29nbK\nykpxcXHB2dmZiOfVpL7bTq3OsLhEgyqHsU9ZotFo+Psr26g/7IuyJgCN92mGzavnV58t6zpXr9ez\nc/URilO1iMCw8RLue2pqr1HUbW1tnM/KxtnNkaDhvb+AmDFzHbMBNmPmNpN5/CRr305DcikcpeiA\nzeha4l/yJC6x/ylHfTHMxwvrqccQtk0wqNurpY1hic1YWFhQlatnNI92HfNjMh2ouchGpsWZziEO\nHO5H7E9yqHivBpXg0tWuR4vNzFx8/Bab7KfT6Xj/hQ3I9izEWt/pA97y9TlO/Wg3T/xy3oC/nyiK\nfP3uHgq2WiIrCEXnko9DfAnPv5eIT8Qltv1tG+UFlihEa9wj5MQ+4cXUBQm8//wmLLc9jsd11ayy\nANT/auFTh20s/59ZCILAey+sx2LHMizp3AMv267mr8lf88uVi00a4TUf7ifvWwVWhePQWFYhH7+N\nZX+KIjDUeB/ajJkbMUdB30WYowv7x0CukyiKnDt/ig5NO5GR4+94LujGzZ9z9IMOQi7/xqC9zjWD\nhV9KiJxoqlTC4GhpaWHlb5Kp2jMMy/og2j1zcJtdwYt/XsCp9HMkL/fHTmtsJC7YfMHHeQ+ZLOZe\nWnyVtD1nyT5eAnnByEr90btew3VaLc//aS6WlsbKWwDrPt1H+R/mGeg+A9RZneOBLRpGDrCG79qP\n9nPtLwkGLwECAi1zVvDGqiUm+5QWX+WrmfW4mvAK1ITs4I1DsRzalsGFlydihWEktpY2hr2zh8Uv\nzDJo37U6hew3IrHuMNTnrohaxe92L+zX/va9hvk51T9ueRR0aGioG3AKmJGXl3fpZsYyY2aoOXsu\ng5xLOwiLkGNjK2P7nl04O0xkWoLpVJRbzfETh6m4dAm/yx8ZHXOqnsjhlWuH1ADb2Njw1jePcPHi\nFcoKCwkKC8PefiIApZersNMmmOxnrzQWRBFFkc9+uZWarcNxaViKA83Uhu1gwkdFTJ0zCWtr617n\nUnpUxApj6U8n9WiObV43IAMsiiKXtgu43mB8AaRI0aWMI+f8ZcJHGbvCL50vxLbR2HUOIFx1p76+\nnoIUtZHxhc6yjWUZArxg2H5+awt2HcbFMezPLCRpUxpzHzZ9jc2YgZuQogwNDVUA/wRMK96bMXMH\nqampobBsC9NnO+M1zB5nFxvip7tiaXuK06fT78icrpafRqxzNYg6vhF1qdJk+83i5uZK9IQo7O27\no4MjY4dTZ3vG5PnldcX87eXtNDd3r3LWf5aEZsV9uDZMQoIES+wYlvsoGe/r+6UqJmh7PqeqrJ6v\n393Lus/20tzc1OdYbW1taMtN75s7qiPIPpVv8ljo6ECa7S+aPCb1rsTR0RFJL09EU8c0VaZ/MxWO\n1Jb0XOrSjBm4OS3o94DPgcHLFJkx8x0ajYY9+9aydcf/Y8v2j8k4nnxT46Ud28bEOFej9qDhDhQU\n3RkDLJXqUDq3okdn8riFU4fJdlEUST90gm2r91NbU2vynIEyPDwIWfwJIw3lBoqxEl2p2OrPm4u/\n4KNn9/DB8iTS/lVtMr3HpWABe9ak9fl5ThFaRIy3u5q4ytX9DjS/v4Sqt+7n3YRTHN5mXEDjRlQq\nFTL3RpPHGlQ5hEeZDoLy9vXCZloewvfkuDS0MPx+LRYWFoRMs6VVUmnUV0MzPrHG++IqL43Jz1JL\nqvAMMUdXm+mdQbmgQ0NDnwKq8/Ly9oeGhv4KTAi8fg9XV9OFzc0Y8t94nVpbW1m99o/Ez7TF0lIB\n6Cm/lsKuPfk89cTPTfbp7TppNBoKi87TrlPj4GhFVLSPwSrNUqW7I9fZxtqL8OXtrNywGu+SpwyO\nNVrkM+PJYUbzOpORy4qfnUFxMgGV4Mon7x4l6NFMfvbeQ/3Ws+7pu4ZPcWXvrg0osUWJPWpqUGJL\nBA9znE8YcfpFLE5fd0dvNzmGAksk7Yo+r+eLb8/hrZNrcTq5vEsPugM1l9lDtPZZoLP6k2fZfRx+\nZzeJSwTs7XuODh+91ILiPzRgKXa/FIiIKKefImHW4z32+903S3n/pXVU7vNAXuWH3u8yQQ+18JM/\nP4hUKmXZc7PJPbqK1q/nYi26AdBGA5IHt/Ds648b7elOf8GbA8cvY9fa7fIWEdHE7WXpM48hlf4w\n6938Nz6nbgWDCsIKDQ09Aojf/RcF5AGL8vLyjF8dOzEHYfWDH1JwQ0NDPSdOHsbG2p4JExJ6reu7\ndfsXTIhvRCYzfFgVXK7HwWop4WGjDNp7u045uWc4e3Etk6Y4olJZUF3VTFpKPjNmh2Nr2xkglJIk\nYfGDr93kNxw4TU2NbNv1ZzwcLTn8ng92F5aiFB0ocdpM1LMKnviFofCFRqPhncQkPHOWG7S3SWvw\nf/soD71gmDOdmXmEK8VHkcpbEPRK7GxCeeyR56mpaQFArVZjYWHRZUT+89Y+2j5bjB4tHbRiiX2X\ncTzPWkbR/bnZbDIoI3idZkUJcSvy+1XYob6uns2fpFF7ToFUIXLpUh6jSt9A9r11gB4drr/fwrKX\n5/Q4liiKfPn2Lkq222FZOgqNfQk28QU89940HJ0c+5xLQ0M9165V4Ovrg42NjcE9JYoiSVvSuJzc\nAoIE/8kWzFka3+M9vGNlCllfqyEnBL1tHbaTSnniz5Nx9zT2wPwQ+CE9p24l/QnCuuko6NDQ0GTg\nxT6CsMwGuB/cTTe2Tqdj556VaHVFSKQ6BL09EWGJjBjRd3m8Hbv+A7I8osc709LcTtYJNSNCFxE5\neqLJ8zdt+yNTppsO4sk4YsN9CwwjX3q6ToIg8O3G3zBzrotR+77d2cxdEMH5M3V4uy8jNCSiz+9x\nK6ipqeZw6loEsYqi3Abamm159uUf4+3tY3TutlWHKPyfmVhgfG0aY9fzq63dRQuOHU9ClKcSHNK9\nImxsaCM/2x1rXRRp/66iNdcBiVU7LrFNPPn2VFJ3n+Hyawld6TY3ks1mRvBg178rOIceDcPoNrQC\neupnfMlv1iwbVHWpt6cdwOXiAyaP2by2gSd+1bMBvk5LSwv5uVfw9PHA3d1twHO4zs3+7QmCQFlZ\nKba2tjg6Og16nHuBu+k5dTdj1oI2M2jWrn+PhFlSLC27VxNnTm1CFEVGjhzbY7/DR3biH1KGu0fn\nw9DRyZoZc6xJObiZwIAR2NoaP+wxsTc4GE6ePErUOOMC7FKpFIlEwsE9DYQEz7ljxhfAxcWVxQ+8\n0q9zmyu1Jo0vQEdddzqVKIoUlx5l+mzDPVp7BxVaIY/9r43Cq+Fh7AFqQVwn8lHZl7y57gFOrt6M\nx6mnDPqVkYEjAQZtHoymnNOcsf0EFztv5NY6POLaef33i0waX0EQOLw7g2u5TbgH2TD9vklGK0iH\nMA2YiIlqVOYzPt5QL1IURQRBMBrDxsaGqJjRJq/R7UQqleLra877NTMwbtoA5+XlTRuKiZi5e8jJ\nPc/wcLWB8QWIGuvMkQMHejXANXXnGBFtbDQmxbuSkrqd+fOMtZ2lojuC0Gy0X1ZY0EBQQP9vr4bG\nanxCTOeh2tnaM3v6r1CpjA303YrfaAeOycqw0RunuVj7dQf/qNVqrG3VgPGeacxEN9IVhoFbTRb5\n6PUVrFz5O/wX21Ni+yktJ3yQtdlTLxajs6nCWRsB34svcicS72XZvPDO9F5XvBXXqvjHSylYn5iH\nteBOpaSGtC+28cynE/ANGNZ13qyXQthw4gAupTO72nRokCQmExPXqUxVW1PH6rdTqM6wQWyXYR+h\nZsaP/Bk7ZeilLM2Yud2YV8C3kStX8lGrWwgLi7irE/QLCrIYH296H00iqe+1r1TeARgbQYVChiCq\nTfaZOWM5m7b+H7PmOaKw6Lwu1VWtFF125uEl3epQDQ31HE3bicpKgpNjMGOiDF3aY6MTOHEqk5gJ\nxntvHe3295TxBZicOJ7kyeuxOvKMgZpVg8MZEh7vXiEqlUo07aYNYk1VKxbq7rzeOucUQn+9kYRF\nzkCnl+Lc8DwUuBAUGEx7uw1ubtPZ/00mOe9n4dzcueVQwyWK3NcRdCaMD5bvw2+ajIeen2EyyGjV\nm2m4ZTzd9W+V6IIq80nWvPk1b6ztNsDhkcNZ8uVl9v/zWxpylMitdHjH6/nR6517zTqdjr89fQC3\n48/gdT3OswJ2XUjBcsUlRkaH9Os6iqLI+k8PULBPT0eDApsADZOfGsbE6ZH96m/GzK3i7rUCPyAu\nXb7AqdPr8QnUYW0tY8vO9bg4jmdawv13emomsVBYodFUoFQaKyEJogmR4BvQa02nXjQ1tWFtbVon\n2NbWjocX/45DyZvQ6isQBRmuLhNYurhbdejY8SQqa5OYEOeGTCalrDSflV8n8ciyN7oUm1xcXNC0\n+FFfV4ujU7exzc1pIMDv7nPUlJUVcTxzJ1JpM6KgxM9nAmPHdgtFSCQSfvblXFb89hsq0myhxRqr\nsDpin3YhLrG70IJcLkfX4Y4gCEYGcd+Gatxb44HO6Fzr+Tu+M76Qn11P/tl2QqOtKCpOZ8rkOV39\nF/9oBjlxlzm67ltqyptoPGFNTOVv4bswy9JDjXx0YRM//7uh6lRNTQ0taX4mM501x8IpLSnFx7d7\nvzs8ajjhn5u+L/ZtOIrd8Qe7AsOu41IRz8Gv1vTbAP/jV9to/89CHK5HTOfBgYxTaD86xZR5PXtz\nzJi51ZgN8C2mtbWVrHNfM2Nud03bYd5QdOUMmZlOxMTE38HZmWby5Pns3PcWU2caKiJ1aHRYyHvf\n5xoRNp0L57YQMbp7BS2KIkcPNfP4Iz1r/qpUKpPuaeiMHq6oSSIuvns+3j52uLnp2LV3JfcvfK6r\n/f5FL5J0YAPnmnORyDSIgi3BAXMYExVrcmyNRoNUKjUpu3grybt0nryCtUyZ4QJ0ijkUFyaxP6mM\nxFkPd51nZ2fHKx/fj06nQ6PR9Kg4NX/O82zc+h7R4xV4etnQ2qLhWGojXi6TKZdVYaV3p5ESJt6n\nprFBxje/kCM79gSObVHss8pEHb2eIL8TxMR0exXCRw8nfPRwPn1tJ/ZVhpHYlthTvy2Ws09mExnT\nrd7V1NSIvMl09K9C7UZNZYmBATZFTXUtWz5N5/S2ciJYaPKc1kLTWw3f51pZOVVbA3AVDffHnRrG\nkv6f9UwZuAy1GTNDhtkA32KOpG5lcoKxtJ1/oB0pBzNuuwFWq9Vk55zF2cmVgADjkm0AVlZWBPsv\n4vCBbcROccFCKafoSgO5FyxYvvTJXscfOSIazek2DicdQqlqRKuVoO9wY8Hc13tNReqN1LQdTIg1\nfqhbKOXo9KUGbRKJhMRZS/sc8+LFU2Tn7UVmUY8ggL7DjSmxy/Dy8h3UHAfKuQs7SZhlGK3tF2DH\n1bLTtLTMNyqRJ5fLe922sLW146nH3ubUqTROpOSjsnJiyQNz8fR05N3qbyla74JFZTB6nci638hw\nPfTHrpWli3o8wtEYdn70CTGrjSPV6y9YYiqu17E9jDP7NxgYYF9fP4SwQ5BjLKmpCcoifJRpKcjr\nVFXW8MkjGbifX46cHQjokWJ83ygcTIuZfJ/0vWdwqTOtDd2Yq0Kv1w/6vjRj5mYxG+BbjF7fjIXS\n9GWWytpu61x27V5Jh5BD6AgVZdUa0jLkxMc9ha+vsXJQ9Jg4wkLHkHJ0JzqtGn+/qTzxaN8pSNf7\nRo+Jo62tDblcftOrS0HQIpf38JCU9O9BfCOFhZcpLt/0nQHsdlXv3/kpDy76PVZWxprFQ4lOp0Mq\nrwW8jI6Nm+BEWvp+Zic+aNyxDyQSCTExk4HJBm3P/HYBdS/Xkbonk3NnG9GkPWDk1pUiRTg9goaG\nehwcDPf/JUpD5ajrCAjIlIYR7HK5nMhHFVx6pxDb9u5I6laLMsKXCT0Wa7jO5g+P4X6+U6zDjynk\ns48QDJeprYprjFzQu/b0dRw97CiiFitcjI7JbDp+sEIZZu4NzHffLUahcKC9XWvymKi/tQ/6GzmY\nvAXvoCKk8maSD+aRfaEUhWUFSYffYd2G96mpqTbqY2VlxZzEpSyY/xQREf0zvjeiUqmGxLUb4BdJ\nUWGDyWOivm/Rhe+TdWYPMROMH8gJs5w4nLJ1wONd59q1Ug4e2kF+fo7hHEWRU6fS2blrFampexEE\ngZ7S77U6Abl86N3hTk5OLHo0kQDv6aiaTNfglVUPo6amxqjdK1ZrJFkJUO16mFmPxRi1P/DCNKLe\nv0Rzwnqqhm+lacp6wv/vLMtenWV07vepP2/Z9XKgwhFr3MhmMxqaERCodDuI68upzFveP8/R1LkT\naR6936hdQI/HlLZB5S+bMTNUmFfAt5iEKYvYsuMtZt6wBwyQf6mRQP++hQaGipzcZOyrWgkM6jQ8\nk+KCuo6JosiuHR+wbPEfUCqHtiCAIAikpe2ntuEyiODtFcXYsZMH9OCLiIjm6zX7cPfoQKXqzn89\ncayGMZGm9417QyJr5saV73WUSgVaXd2Ax+vo6GDj5o9wH1ZPyGgHSouOk7FGzpzEl1EoFGzeW52K\nGAAAIABJREFU/gFjxskZH29LY0MJ6zYdRqc1/fJ1/Ggt9y9IHPAc+kvi3HlkeZ7CodzY1S4EXsLb\n23iv/JHXZ/Fe9lcoDyzCWvBARKTaKZXo19W4u5ve7529NJbZfe8EGCMXDP45jBicCOEca7Acn8c7\nK17B2WV8D52NkclkPPjOcDb+77c45y7EAmuaLYrQxifx2u+N95drqmtJ+vYEeg1MWhhGUGiAiVHN\nmBkazAb4FqNSqZg07jkO7lmLi3sLVtYyykpkeLvHMSbOuC7praCjowO5spHZ8yLZv+ciiXMNcygl\nEgkJMx04fGQ7sxNN75cNBr1ez9ff/JmJ8RJCozoNTvm1Q6zbkMnDS37WpxFubm7i4OENCGIVlpaw\naU0NPr42WChFdB32RI5+jOCgQZTvE0y/ZIiiiCj0XS9Yr9eze8/XtGsLkUg7KCutYfQYOyJGd6bY\nBIc6ERQisnf3Z8hlVsy9z77L1WnvYIWdYzk5F6rZslGJlZUFPr6OhI/0JCuzhCtXWm9pzWIbGxv8\nH2im6bNGLG/IG26T1BK4qN2ki1ipVPLrr5eTvOsYBcdSkFsJPPNoJL7+Y4zOvVm8JuloOqZFhoJW\narjAWmzwxIkgmk8o+cP9G3jmvQSiJoX3e8zIiWGEJQWwd10STZVaomPcmDD1YaP7b+uXh8n60BK3\nqsVIkfLN56dwXbaVl94xLTZixszNctNSlP3ELEUJVFZWola34ufnb3Lv6VZJvB1M3k5Q+EWsrJUk\nH8hl2kzTtVczUiy5b/6Ph+xz9+3fQMiofKxtDA1e+bVmOpqmMW5cz27EpqZGtuz4C4nznbs0olua\n2zmaDD9/9c9d+sb9paWlmYzjh7BS2SKRiljYpOLjZ6jKdfJYFWNHv4KHh/He7I2s+fZ9YqfpsLLq\nNpTnz5Yhl8sIH9mdn5uXW0vuxRoWPdTt8j24P4fIMd643CBmf/5MGadPlzJjVhhSqRxdy0yDdKSb\nwdQ9JQgCq9/bS8FuKUKlIzLPeoYvlPDIa4kGhqb8agVJq7PQtUkJneJC7PSxt9wQtbe3897TW1Ae\nvJ9sNjCOHxvsV18jiwb3Y7x9ZAFOTkMn+VhXXcXfY6twbTR8KW6TVRH+4QnmLTPX9b2OWYqyf5il\nKO8y3N3d+z7pFtCmbsDKutMI6vSCyXNEUUTQD+3toG4vNDK+AJ5etqRfOss4ejbAhw6vZ/YCZ4MX\nFRtbS8aMbyEtLZnQ0HE0NTVyJGULAi1IsSF+yv0GNW+vs2fvarTiBcaMc6ToSi1pKVexsLBEp1cz\na04w9vYqTmY0EuAzu1fj29LSzI6da2lty0apNFx5j4r0Zv+eiwYG2MfHhjOZJV3/bm5uR2VlYWB8\nAUZFeVNR0cQw78797BMp+cDQGODrnDt/kvyCNCRSDYLemhmPLeSxX/igVquxsrIyeiHcseIIme9a\n41azFAkSjn5RQursdbz+z4duacqWpaUlb65eyv/71VdErHjSKFjMi2jqKwvY+UUGT/xy6HKI9nx5\nFtfGBxHQU0wqGpqQo8RfP5XcfWrmLRuyjzJjpguzAb5HaW1tZc++/yBKypFI9IiCE2MiF5h0yQYH\nR1NweR1Bwx1xcrKm/FoDnl6GhurUiWomjBvap4yIaWN//Whv6KlEKjXeJ3X3sOHM8TOIKMk69x+m\nzvRCLpeh01Wz/9D/MWrEo4SFdmsDp6Tuwc37Ej5+bmRfuEZLs4anX4hGIpEgiiJHDpWgafVg2dJf\n9GpYdu9ZhVbMZvJMR9StARzcn4O3jyMjIroNtkJhGKmdl9OEpbI72OvcmTLGjjOdR23voKK5uR1B\nL2BvNwi3ei8cTN6MyvY0k2c4AgpEUcPxtH8Q0rKMsFBjNaiK8kpOvmuFR023eImt1hftzsf59uNt\nPP4/tzZ5ViaT4Wrrgxrj9D0AGUpaK0zXTh4s+lY5LVSRz15CWIAVTnTQSi7bsC83DkwzY2YoMEdB\n34MIgsD6TX8mbno7CTOdiZ/hRsIsOTmXV1NUlG90flhoBPm5Kjo0OsaO8yM3u4ITxwoRBIH2di0p\nBytwsJmOp+cwE582eBRST7Ra4xSWhvo2nOxN5yB3IfZ8a4qihL1JHzFzjk9XepJcLiNhpjunz23u\nOu/M2WNknV2Dj58DoihSVlrP+EkBXW5UiUTC1Bl+WCirezW+aen78AooZNIUN5RKBY5O1iTOHUl1\ndQuNjd2pZHp990uFRqOlrsqZ4cHTKC5s4sK5q5w7XUZ9nWk5zvY2LUoLOcfTWomN7TtauD+cy8vl\nz998Q1nVYYJDu6PFJRIJEye7cv7iLpP9klZn4V5jrBymwJKyo7fnkWHtJkX3fTHq7xDowNrLdGrU\nYPEeq6SAfUTyOFbfZT1bYE0ES2m8puVWbdWJokj6oRNsW72fmuravjuY+UFhNsD3IGlp+4lNUBnV\nz50Q58LJrB0m+yxb8gsy0+w5cqAWmcSB6goHtm3oIO9sCAvmvE3sxKGPvJ05Yyn7d9YbGGG1uoP0\nw3omT+49Alwp90GjMU59KSxoICengKixpvf/hvlqKC4uQq1Wc+nKVry8O1fRRYW1BIeYLlfn4d1O\naWmJyWMA5VWn8RpmXIB8cnwwWSeLAdBq9RRfaSUrs4KUQ1VkHLHGy3MkDY2FHD1cydnTV1m8LJrD\nh/KMxhFFkcqKZo4cbCFu4jM3LQyh1+v55ZpVvNpcy1p9KwlTTbvVFZZ1tLUZ56Lr2yVGrt/rCG23\n55Ex//HJlHlvNGpv4hodLkUsfG5oAxhnPTQOK4W9ye89rHYOF87kmOh1c1w4dYk/zN3O0UfCKfn5\nIv4+7Qr/+t32W2bszdx9mF3Q9yANTcWEOplOY5HJm0y2KxQK7l/04q2clhEqlYplS37LgYPr0Qrl\nIILK0p/HHlncpwDC7MRlfL3mHaZMV2Dv0PldiwsbuFrohaUqF8seCitYKCVoNO2kHN1J7BRnjiR3\nrioEQUQqNW1UJNJOr0JPSKUawDgy+foLUElRI9lnZfzsp1/S3t6GtbUNGzZ+jKv3ScLH2BA7dTiN\njW2sW32S+GnD2b/nIvHTQrC0VFBb08q+XVeZMPZFJk0avCqaRqNh9V+TKE9TUFXVypVIJbpAJXKp\nDKGnfX8Bk79DeLwbyf+8gl2HsUCLw0jTq9KhxsrKikc+Hc6qV/+FW9F8VDhzhSTafM7y03/OwdFx\n4PnfvdHR0YGtwhUT6c4ota7UVRYN+eetf/0yHtndaXTuVdNp/lctm7wOsvilmb307qSqsobzJ3Px\nDfZkeFhQn+ebufswG+B7EEFQIIpiD3VYb6+mcV+oVCoWLuhZvrK4+Arnzh8BJIyLSewKglIoFDz5\n2O9ITdtLdtMVREGKv998HnxgAlt2vElBfhWBQcY5qOdO1/HckyHkXU7HQiknaLgrp0+VEDnGm+2b\nzxIQaCzAca3Egik97M0CCDrTBSbUrRquFtkRHryAJx4b1/V9048dJGpCOy6u3f3s7VU89vREMo8X\nkTA9hD07LlBfr6b8agO/fXM9zs6m9zv7gyiKvP/sZuz2P40TCpyAsKtw7vxuLvzdl43HTvBUovEq\nWKtxMZn3PSEhmpT56+jY4oEF3S96VcHbePrloU896omoSeGMzggl48gp8rLzeWl6JOHhr3YdL7pa\nxooTxyiUSbAURcYpVTyTOG9Q6lbu7u4owo5AlvHKusk3jZgp427qu3yfvevTcMxeYNSuEpy5vFcH\nL/XcV6fT8Y83dlC92xf7mjjSVYXI4zbz7IfxuLkb399m7l7MBvgeZOL4eZw49iETYg2jqhsb2rCz\nNq1ydDeyZes/cHQvYUKCC6IocubU3zh9JoK5czpXBTKZjKnx8436yaROODu3kptdTtiI7qjji+ev\nYWc9GqlUipdHKNeuHiAwyJXzZ8v49+dHCRvpQVZmCdEx3SIUWSdrCAma32t6TcTIWZw7vZ7RY7rd\n3qIoknKwkZ+8/GejvN3K6gsERxhLJVpZWdCh0bN310VGjPIiJNSd2poWvt34a+YmvkZgwOB+u6P7\nT6I4NA8Zhi9fo0vnUfr1VyQvnYhfZibTYjpd8DqdntTkGiaMfb7HMX/+2WLWjdhFaQro22Q4jNDw\n9I+j8As0rk18K5FKpcROG0fstHEUXi7mH7/aSXuFBR3WtRyOaEb96ANd5+a0tnL529X89ZEnBvw5\nEomECc84kpl/AYemiK72VosyQh/puQjGYGm8pkFpsmYUaGp7fyyv+NNedKsW4/7dy5FlWyTigdF8\n8cpKfr3uoSGdp5lbi9kA34O4u3vgZDuNo0eSmRDrglwuJftCHdXX3Fjy0L3xB5iWnkTwyGrcPTrf\n2CUSCWNi3MjPy+XixdOMHNnzSity1ByulH6LRNpB0r5s5DIpHR16yooUvP5aZ2Wk6OhYVny9H7eF\neirKm3j6hTgUChklxXUk7ctGIZdRUtRE4oxfMHpU7zKbYaGjaWtr4XDSQSytGtHpJGjbXJg985Uu\n46vX6zlxIoXmlkY6NBp6+tOqrm5m8bKxXRHTzi42LHkkhH07VxLg/6dB5dkWHK/HRmfaMDrm21AW\nE8OnpX5s27ibaTIdHk6BzJ7+nJHm843IZDIeeXUOvNrjKbeVYwfOsP/nOlwrlmNB54ZA8OFkznpc\nQDKj02BKra05PjKUkxfOMS5idK/jmSJx6SSs7E9x/JtvUZcpUbpqibjfhnnLZw/tlwECopxJl5eZ\n/N1s/HqO8Nbr9ZTut+gyvteRIIFjE7h4OpeRY0zn+Zu5+zAb4HuUuNg5tLRMJjVtF3qdhlERDzAt\n1njP7m6lqvocw0cZryqCQ51IT07v1QCHh40mMzOLuoYcHJ2daGhoorq6maiYYezY+ztEnTeLFr7I\nsiVvsGvPl7Q06bsMnq+fE75+nStZvV4g61h2nwYYYExULGOiYmltbUWhUBises9fOMn57M1Ej7fG\n19aCb1aeoq42Aidnw++n0Whpbm43SlcCiB6v4uTJVMaPH/g+sNxGQEBAaiKmssO6c1NT4u6Fs9yH\n5x9/ZsDj32lEUeTgR1dxrTBMkwurmkbVZ6spn37DdkxgIGkp6YMywACTZ49l8tDbWyPiZsWQPHkD\nVoefNvjdGuzPkvCER4/92trUCDXGue4Adu3Dyb+4zWyA7yHMBvgexsbGhrmzH+77xFuMKIpkZaVT\nVn4WRPDyGEVMTB96zxId0MN+taSH4hWiyLadXyKVFxA8UkFVpci5rHrip7vjF9BdnF2jaWXTlr+x\nbOnrLH7wJ2zc9muT48lkUvT6geWTft8V2dLSTO7lDcyc2/3QfOLZcaxfk8mCRaOxsbX8bk5aVn55\njKDhprWTXVytKL5UPqC5XGfuE+P5eEUSHhWGlqOdJtTD8vBKUhMtU/DTpY8CnQFAEonkttdAHixF\nRUXos0znRoeej6YkvxCL4Z0vn6IgoLgHooglEgmv/nsOK3/7DeXptggtVliH1BH7jCtxiT1rXVtZ\nWSP3qYN642P19lksnGQ2vvcSZgNs5qYQRZG16z8kfHQTkxI6pR3Lrx1izdpjPLL8Fz0aYYnEGUFo\nMAqYaW/XorQwHRC1d98aRkRW4uDYacQ8vWB0lCs7tp7DL6B7f1apVODgUkVVVRWurq5IBNMBTvmX\nqrh29eYk9Y6kbiM2wdCoSqVSliyP4at/pREU3HlMJpey8P7RJO3JNjnOhbM1jB61eFBzcHZxZsrv\npKT+eSeuZXOQIafO6jw2izI5tvotamtbATifmcfej/JpOGMLcj3OMc089Gb0Te/rqtVq1qQc4opW\ni0oUWBQWweiQIY5FkJg2qqJEhBvuMcvjJ1gyYWhVxG4VdnZ2/PTj+9HpdHR0dPSrDKZUKmXEA3KK\nssux1nXHP+jRYjX9Iv5Bg7uHzNwZzAbYzE2Rln6AyJhWXN26dZU9vWyxtFSTkrqHhHjTqkkJkx9k\nz753mTm3OzdXFEUO7a1n2RLTG49N6mwcHA2NqUQiISraxyAgq6y0nmvXKqiuehtLpYrGBgs2rSvh\noYe73dqtLRpyssvx8PbskmMcDHpBbdKlLJNJCR7uaqC7XV3djJW1BVcKqg0iuNvaOrhaYs+MKT1H\nYvfFrMUTmTi7iT2rt9LRKjJtViDhkd3pXkUFpWx6sQa30mV0reG3w5f5a/nfnfbY2BjnOfeHypoa\nfrZ/J1cTZyL9LqL68MWLPHWomMenD01uub+/P7Lo3XDcWLUrNzwDRdBURFHE4uRJnlZa4eZq2stw\ntyKXy5HL+/8oXvzjGawXD5C7UUQoHoboXI37tAZ+8kfjqGozdzdmA/wDRxRFjp84TE1NCS4uvkwY\nP3VIBfWray8SMtp4L9fRyYrsM7mAaQPs6OjEjIRXSUlaD9JqQIJEdOeB+94wWZFHEARksnaTY/n6\nOZF8IJewEZ7U1bZyKbeSBYsM9wC3bCxh+5Yz2NpaotMLKBQy5t83irLSBoqLCwkPH2ly7L6wsfak\nqekcdnbGeck6XXf+rbZDx6GkXJYsG8uZrFKS9mYjl0vR6QVKi1t49cf/AaC4uIDMrO0grUMQZCjl\nvsyd83i/3MW2tnYs/ZHpDcy9X5zBrfQRo3bX7MVs+/cWHv3Z3P5+ZQM+STnItQXzkN5wT+lHjmTN\n0XQWNtT3GujVFzkF+STnXqS9sQmmtZB99UvCy55BgqSzJKLnQaY+qKMpNR1LQWRxzAS8PXsvpPFD\nQCKR8PBPZqH/kZ7a2lrs7IJM/s2YufsxG+AfMFVVFexJ+jsxEy0JHGFNTXUJq9YkMWfmT3B3H6oH\nVS96z5LetKDB3d2TxQ8arnb1ej3JR3bQ3FyCIEgZNXIaQUFhSKVS9HrT4huFV2oY5tP5oD+VWczM\nRONSdQvvH82RQ5eMKkFVV2oJHNNz0EtfxE+ey+q1acxdZGnwYnP+TA0Nte6kHmoEUYZM4oWTow9S\nqZToGMOVbvI+HSqViuLiAk5f+DdTZroCnd9Ho6lmzbd/4YnHfnNTL06tJUoTFZBBhoLGK4NXt8qW\nYHJe6kkT2JKRxtNzBr4qEwSB367/hjSfYTTUVWEREIBqzgj08Ve4suv3TCkMwMXHkqeficQvYMKg\n536vI5PJcHMzre5m5t7AbIB/wCQd+oI5C526HpAurtbMvc+apF1f8uiy3w7JZ1hZ+qBWFxiU5oPO\noCNLpXHR995oa2tj7fo/MWWGCnv7TnNx8fwqCq5EkjjrYRxsIqitycfZpdtdLIoih/aXEjPem9YW\nDW2tOpMGQS6X8f1mQRBoqHXCyWnwIhhyuZwFc1/n4P4VyCyqsLAQaVfbEeQ/l5dfmmJw7qlTKWQc\n3cX4WFekUint7VqOHKhj5tSfApCZteM749uNUqkgclw7WVnHGDs2dtDz1CirUXMZR4IMom5FRJSO\npoPe+oPQU1ENiQRdL+pivfHV/t2kxsfRfOQI9vPnI/lu9S8PDaU1JITS3Xv51TLzXqeZex+zAf6B\nUlVVhatnCxKJsXvY3auViopyPDw8TfQcGNOn3c/Xa/7A7AV2KCw6byetVk/SrkYeXfbggMbau28V\nc+6z7yqwADBylAtZJ09TXj6ZxFkPs3vPKvLEPDy9oa5GT321Az96/m+0t7dx6dJ5LOS6HscvvqIl\n92ItQcPtKbjcSEmhikULXhncF78BFxdXHl78C7RaLVqttsf95LFj4/GpCiM9ZTtSiQaFwoslD7za\n7T6U1QP2Rv28htmSkXKRsQzcAOddLORfr6SjThuFnA7y2IYKJ/zprG9b7ZrC008Z7632lxARjpto\nV57K4r6YiYMaM6NNDRYWSK2tu4zvdSQSCTmBAVwqLCAkwCy/aObexmyAf6DU1dXg6Gj653V0llNX\nVzMkBlihUPDIw7/hwMF1dOivdrZJvVi+9CcmZQ57Q8815HJjAzQmxpUTKftZuOBp5s97Ejs7C06d\nusDwMc43rF4d8fDwwu6MA1fydxEYbJgrmZtdx6KF/4PSQknOmWyCAkcSP7GPikwDRKFQ9LlX6+bm\nxv0LnzN9UDBdhEEQBBBM/5aVlRWcyjqMSmXL5LhEg89vb2/nk0dP4HL2Ua6HyLkxkkouUMgRrIbX\nEP+6HX4BPn1+t554cVws+QcOUTNjWrfnoayMBWoN7oN0j6qlEoTmZmQ96D3rvIdRUFBqNsB3GScv\nnCO9uBArqZQlkybf1P7/fwtmA/wDJTAwmO279fgFGB8rzNexcE6I8YFBYmlpyYL5T1JQkMuF7COI\nkjayTqcRO2nGAPctTbssJRIJIt0VlZRKJcOHm55/VNQE9icVkVGRRcxEF0RB5ERGLfbWEwmb0KmY\nFBAwfABzun0oFX60tZWjUhm6809mVDNpoqGetiiKbN32T1R2xYyNc0Hd2sGm7SmEBN5H9JjONJzd\nq49id3ah0ee4E0HxmL/z6x2PGMloDpRAH18+s1Sx8tARSqQSrAWRGZ5eJC64f9Bj+goiVx0d0WVl\nmTyuys0lOiJm0OPfKdRqNV8c3Ee2qEcCjJDIeH7mHFQ9FBa5V9DpdLyxfjWZESMgPhZRp2NLejIv\nObpx36TJd3p6dzVmA/wDxcLCAmvVKCrKC/Dw7NacraxoxVoZMeDVaV/s2bsaK/scJk3tXJHW1Bxj\nxaqjPPbIr/sv+CC4AMZ1Xgsu1zM8uOcauW1tbeza8yWi5BoSiQ5RdMTXax4nj5Yi6AVmzfzRoNNs\nbidzZj/KmnV/ZURkI75+9giCwIljVThax+P6vdSaQ8lbCY+qxcm5s93aRsn0RHdSk7cRHBSBnZ09\nDSV6g2IKN+Ig875p43sdd1dX/vf+/u3JCoKAWq3G2tq6x5ezR0eP4WJmJi0KBbqaGuQu3QUGhPZ2\nJtY2DHp1fadob2/nxxvXULhwPpLvUo5ytFrObfiGz5Y9MWS/xZ3gn3t3cmLmdKTfvUhI5HLUU6bw\neWoqU+rrcHQ0XTrUDMjeeuut2/E5b6nVA1Mc+m/E2lrJUF6n4cGjuXi+npyLJZQU1VNUICJoR5E4\na2jVswoL82nu2M/IUd0PSisrC/wCpaQevkJoaFSv/bVaLTt2/pt2bRG5uSUUXqlG3abF3d2OxoY2\nLp61ZfrU7hXVjddJFEVWr/0j02ZLCQy2wS/QBjt7DYeP7MPGtgkru1ouXMiktVXAe5gJd8BdhFQq\nJXJ0PNUV1mSfb+RasS2x458mPNz4+mWd3UzYSOOV0zAfFRlpVwkJiST/0hUakwORmXrPHnOWSfcP\nnRekL/R6PR/u3MIH2edZUXmV3edO01BSTHTQcCND7O7kzAidQGNFOdcyMtBcKUCsr8f50mWmlVzj\nV4v6Lmc5UIb6b+/7/CdpD0emTkF6g6GVyGTU+PmiOH6CqKC70ytjiu9fq8+zz9EYYjx/rbc3kvRj\nxAy1KMs9grW18g99nWNeAf/A6TRcg3cH9odzF5KZNNW4DJpSqUArlPXZf92G90lIlKJUegKd+9Ln\nz5azbnUR4cOnsnzpAz32PXXqKNET5F2BW3q9QOqRyyx/PNrgwZ6bncyZs1ZERfY/MKipqZHUozsQ\nRQ2ursGMHxc/pDnUPRE5ejyRo3uWIwSQyjrARGKRXC5DoA2ABU9M4d11O3C9sMTgnEbrXCYvdTfq\neyv509aNHJg8Eel3AWqVwOqaGnR7d/KjucZu8qiQMKJCOlPGBEGgtbUFKytrZDLT++QD4VxeLtvy\nLtImkRIgl/Nowgzg1npIcrQdXUIlNyK1suJiu/qWfvatpr2nOtsyGeqeouTNAIM0wKGhoQrgK8AP\nUALv5OXl7RjKiZm5d5BIjN3G3fR2DPLzcwgIUaNUGgZsjIr0pK5KzcyZvUdSl1deYkJot4v9ZEYR\n02aGGhnKsBGOHDmQ0m8DnJl5mJLy3Uyc7IpcLqOy4ggrvj7IsiW/6tqza2trQ6/X3RH3tqAz/Zn1\ndWocbDvzoFUqFT9eNYYvXv0G7cmRyNvt0YZnMfZpJVPmJty2udbV1ZJua9VlfK8jcXHhgOY8z2m1\nvW5TSKVSbG3tejw+EFYe3M8qayX6aZ1FL45qNCRvWcfqR5cj5daJWch70ace6EO45GoZG7NOoJFK\nGePkwuyJcbflxbAnfHUCplTMxZISJgwbfIDffwODXQE/ClTn5eU9Hhoa6gicAcwG+L8UL48Iyq8d\nxNPL0CiIogg96DBfJ+/SKcZNMR0tKZE19fnZMpkKbUdtVwpUe7vWpCpV57mtfY4HnYa1sHQ3CTO7\nBTrcPWyYvVDP7r1fMT5mHunHv0WpqkUml9DWYseI0DlERAxt0fbeiBiRyJlT64ga2319BUEg/Ugr\nTz7WrYY1Ykwwb25yp7CwiJbGCsIjpg9I9nAoOHM5j5awUJMPm2p3V6qrq/DyGnbL51FXV8sabRv6\nGyptSZVKri6cz1927+bNeQNLmxsIcY4uZNTUIHUx9BSJFRXEu/bfG/HN4QOsEHV0JHQWO9lTVcWO\nr7/iw2WP37F95CeixpKdfozm2EldbYJGw5iss8Tdg9W3bieD/UvcAGz87v+lQM/Jl2ZuipaWFvbu\n/w+ipByJRI8gOBIZMZ/QkFF3empdjB0bx6pvjmA/U4OVdaebTRRFDu2rZubUn/fa18bGiebmEmxt\nTchP6vsO3oqffB97D75N/PTvjKUEOjQ6LJTGt7ag798DKjV1FxOnGL84yOUyWtvzSTn2D2bNdQe6\n1cROndiKtbU9AQG3Z181LHQ0Wq2GI0lJSGS1CIIMieDJg4t+aXJ/NCDA/7bMyxQBHl4oygoRTaQV\n2dTX4xB5e9JVNh9Pp33SBL6/VpRIJOytqeENQRjyveXr3DclgZPrVpMyeiRSn85VoVhczIycS8xe\nvLxfY5RXVrBSr0E7fnzXd5C6uXFh/hw+27eLny3seavmVjIyMJi/AF8fSOaKFCxFiJYpeHnZ43dk\nPvcSgzLAeXl5rQChoaG2dBpj0/XezNwUgiCwYfP/Mec+R2Sy7jfnkxlrkcsVBAXeHaX5R1TFAAAg\nAElEQVTHJBIJjy1/g31J61C3F3W6pAVnZk17HReX3oXx42ITWbfpCLPmGRpgjUaLXOrDpUt52Nvb\n4+5uWi7SxsaGAJ/7SE7azsTJTkyYFEDS3hzmLzJ8QamsaMXVuecawzfSoW1DqTRt/Nva61hwn7Fu\n9NjxzqQe2HvbDDDAqIhxjIoY1+lpwLQk5N1AgJ8/I9KPcCFipMEcRZ2O6Nb2QRfCGCh6UYQeDGyL\nSsW/9+3mhbm3pqCBRCLhnWWPc/R0FkeOHEUCTPP1Z9ISY33unth4MgNNfKzxC4SFBWf1g1czGwpG\nBgbzl8Chzav/b2DQvqjQ0FAfYDPwaV5e3rd9ne/qevengdwN3HidDhzcRWyCCpnM8KExbqILJ44e\nYOKE2+fy7A9PPv7ioPpNT3iW5P0rGDvRGjs7FZfz6sjMaGTYsEbq21ZRWqXn6DF75sx6Fn//TvEF\nFxcb0o+lUF5eTFTkRKLH/IHP//k7VDatyGQ2fP3VGSIiXQgNc+X8mSZsVJEs7edKIzhoBOfPrmFU\npLFbtLGhtcvd/X0sVW135X1+J+ak1+uRSqVdBvfvjyzjZxs2cC44GNHfH3leHuOuXuXDpx6/bQb4\nyVnTWJ2cjGzSJOODosgpQXPLr9UDiQkMdp2qsFb2+JIlWMhv6+98N97n9yKDDcJyB/YDP87Ly0vu\nT5/q6puru/rfgKurrcF1Ki7NYWKA6YdTh7bmB3NNPT1CeGjR26Sl7ye95BJXy9oZNUbO+FjD/bJN\n2/4fy5f8kY6OejZv+5iocUrCx9hw9mImhw8V8PTzY1Badqt7HdhXQtaxYSTO+gk2Nrb9vl4SiRXZ\nF67iH+hs4BrPPFGETqdDFEWTD0JNu9zoMxoa6tm6/V/U1OXi4CBHFJW4uUQzr58Vjm6W799Tt5p9\nmcfZUFJIqUyGSq8jWpTyi3n3oVKp+Nvixzibm8PFjFPEhIYTMiGB1lY9ra23Z36WClu8L2RT7OuL\nxbDOlytRFGnevx9VZCQNuXm37VqJosiBE8dIraoAYJyDM/PjpvTqAh/j4sm3RUXg7290zE+jv21z\nv9331L1Kf15SBrsCfpNO0drfhYaG/u67trl5eXmm68WZGRQSUYkgNJv8oxT0P6wMMrW6lZKyTPyH\na5g+x43Ll6rYsfUsMxLDuwo9xE21IyV1N9V1Wcxe2L1HGzbSmaDh9hw6kMfsed3u4ZmzfUk50Djg\nKOXg4BBOnw8gK7MEbYceuVyKVqsnOMQNV1dfThyrYkKsYeBMYUEjfj6G9W/r6+v4/+3dd0AVZ774\n//fMKfQigoi9oIOiYq+IWGNvMRrjpmdLdu/2e797s+X+7mZ3c7cl27I1u8kmMTGJiTGxiwUBFbti\nwcGGFZHeyynz+wOC4jkgIHJQP6+/PDNzZh4mJ+dznmee5/N578Of0KmznacW3RwSr6rK4b1Vr/D0\nk//TboeNW2LH4YP81qjGNn0qAFXAdrudza+/ytRIjRVDRxATNYCYKNdqVW3lq3FT+a/0dCpPnEAx\nmTAcDnxHjcIcEkK3k6fbpA2GYfCTD1eSPGIoysCa9bOJubnsfP/f/Gb50w0utRozeCij33+H1LAw\nVL+bOd5Ddiby3Gg3vXrR7rX0GfC3AfdV00WrGTd2Lnv2/IaxsfW/7IsKKwj0f7AWt6/b+Bemz/FF\nVWuWFEUP7kLUwM5s2XCS2fNrgldAgDfnM48yeoLrDxKL1YzZrOK8bSKNaipqdltMJhOdO43DO+AQ\nfSJv5qY+f7aIfn2m4e8byI6tWxg20hcvLzOHDxQR6DuCaVMn1DvPzl0fEhxSSfzU+s+MvbwsDBtd\nwaFDuxk58sFJ1fdJ5jls06fU26aYzTBrJltLSzly9hQ/ra5ihOa5ADxpxEhGph/n1NxZdRmpAPyP\nHGH5wLaZ2Lhq4zqSRg5DDb/5/7UaGsqBKfF8tHMby6e5r+kM8H/LVvBWwiYOVlVQqSj0djh5ZswE\nerbBLHLR+h6sbtQDJjQ0lE4dp5O0fStjY0OxWE2cOJ5HXlYEjz364JRjy87OJjS8EFWt/0PDZFIJ\n6ehHcXEFgYE+lJZUUlZqo3OE+1mzPr5WqqsdeHvfEqCNlg3zxsfN59ChDiRt34uqluNw+NCnxzTG\nxtWUGBw6NJYDB5Kpqq5g1rTJ7vP5qrlYLO57MxFdA0lNOgU8OAH4qsn98Km1Z09Ktm8nPyqK/7d5\nHaGnj2M1DGJUM/8xY06bFpNXFIXXliznd5vXc9RwUKGq9DYMvj56JFFdW1bcwel08va2zRyoKKNK\nUejtMHhufBxdwut/ng+mn+RvJ45yuDCfwDjXHqspIICDZSU0NFOhqqqKz3bvwul08t0hw9GkGMV9\nTwJwOzd29DTKysaRsnsjNlslQwYvZuqE9p1Ssbmys6/QuYv7L+HwiEDy88oIDPRhT1Ixg6Pj+GDl\n+/TsHcSoMb3qBbiy0iq8bll+lJdbToeglpfaGzFiIiNGTHS7z2w2M27c5EbfbxgKTqf7BAyGYWA0\nUOGovSgtLeX95J3kOZ10s1hZOmlKoznEAxwOCt1sd5SW4igvpyojA+tzz5Jdu/2SzcbZD1fy16ee\nb9OheB8fH364qH52MHfPNRuaXZ6WoZOQkY4CzB44iLdSd7N3chyqf83ozVnD4Oi2Hfxu/CS611Yc\nu5GTw8tn0ymeOQMlIaHBtjkbuA27jh7mD+d1cmMnoPr48OHJU4zdt4efLV1xz5ZOiXuvfX8DCAD8\n/Px4ZMZjdz6wHTIMg8NH9nL9+kX694uhX7+B9fbv3rOFcxeSsPjkEtHFtRTh+bM5dAwJZsuJIsrK\nVHz77WX5k8MpLalk+9Z0Ivt1IrJ/JzIvFJBzoxqHw4nJpHLieB7517uyZPG9WVbSFFZTNyqrM6mo\nqHZT4SiLMaOaNivbEw6ePsXPTx2jYFIcitWKs7yc9Ws+4JcTp9C7m/vsRuO8fLhYWloXiL5QumsX\niqIQMLn+DxbFYuHkxPFsSd3NzHZUNSf9wjn+ceQgGYqBisIAp8E3xk2kR0QX/m/NRyT07IoxqeZx\nw0cbNmCOHoD5lr9ZURRyp0/lzW2J/H+1gX7l3iSKJk1EARRfXxzFxZgC62f3clZVEW11/SFaXl7O\nqxcyKJ4+jS9CrSN6IMm9evL3Tet4cc6Ce3IfxL0nP53EPXPt2iXeXfUTzH7bGDUxixtF7/POez+n\noqImV3FKykYsfnuYOb8jdpudstKqeu8vLq6krLAXA/t9C3/fLsxdFEzf/jXDz/4B3sycM4ijh6+y\nbVM+lUWjeWbFHziS2pX9SaH06/5lHnv0Gx6d5PTIjCeoKI1g/drjXL6UD9T8INmddBFf6wQ6d+5y\nhzN4hmEY/CHtMIXTp6HUZldSfX3Jnjub1/YmNfi+r82ax5TdqZgOH8EwDOz5+RStW4e3pqE2MMxs\nCgvjSH7uXbe5qqqq7nN1N7Kys3kp7TBHpk+hbNpUSqZNYf+Mqfxn8nbW7NjKlphoDO3m/Aublxfm\nPn3cnuvMLU8fchUVpban6jd2LCVbt+K8pb1GdTX9Nm7mycmuVb9WpyRSONH1B4rq50dqtcx7vZ9J\nD1jcMzuT/sXMeTdLkfXTQujd18G6DX9j6ZLvcjV7H5Njanq902cOYEeCjqKAn783pcVeBPhG8/xz\nz6AoCnv2X8Tq5Vrw4ZE5A7h8Joa4iXMAmDOr6YkN7pWrVy9x+MgOAGZOf4Hz50+SmpxEYuVZgoO6\nM3f2Sw0mFmkPjp06SeYADXdPr9M7BFNUVEhQULDLPlVV+d8ly7l09Qp/eu8D9jhsBHxpBarJRKWu\nu72WYRj4NDBM3xTnL1/iT/v3kO5lwWFSiSyv4tmoQYyOHtSi8729N5mCKZNckl3cmD6Nd/71Fsro\n4fW2G05ng8vSLLf8XR1uOU4xmQhauJDS5GSw2wnJyWVJt148s+xJt0P8RTab20IOAGUNFEIQ9wcJ\nwOKe0PUT9I1yumw3m02YrFkUFxfj5VNGzWq2mi/vaY8MwOFwUlpahZ7Wl7mzH697n6q6LxUXEODN\nvgMbKSq+TGTfsUQPbLz04b22bv1b+ARmMDqu5sdC2pG/UVnSn2987ZcebVdzFJWVYoS5Pg4AsPl4\nU1FR4TYAf6FH12785sVvcT07mw+S91KmQnZOPkdLSlAD6i8J8zpwgCUjxzSrfXa7nbcSNrG/vJTj\nBXlUBwXhO2Q45g4dSAde3reP1/z86N+r6XMlnE4nOTk5XMbpNpgqFgtlAf4u232GDKHi0CF8R46s\nt92oribGdHMC4BNjxpO4Zy9lE8bXnM9sJmDyZLyOn+DX0cOIaWRm+Iiu3fnkyhWUbt1c9nV3tF21\nIZvNRsLe3Vi8VcYNHI6/v+v9EM0jAVjcE1nXL9Erys/tPv/AmiHD6irXPpbJpFJZ4aBzp/pfNk6H\n+y/8UyeymDIjmJ69yzl35hM+/WwfixbcOSNXWtp+zpxPRlHLMZy+RPaOJSameYHgdocO7SaiZyY9\net1MvxkzPIxLmZkcPryH4cPH39X528qYIUPpuGUdRVPiXfb1zMomfPwUl+3udA4P5zvzakphOp1O\nfvLhe+zRIjH6RWI4nXjvTeU530C6RTR9KN4wDL7//tscmTkd1ccHb8DLMChevx7FxwccDkrMZr6+\n+XO+FTOC+U14tvzezgQ2lxZyOSiY8iuXaCgvV0hlFdk2G8otCVQsnTtTcfIkjgMHMY2qCcLO3Fyi\nk3bz9eVP1R3XtXMEP4jowRtbErjQPxJMJrrpZ1jRpVujwRdgwtDhDHr3TU6Eh9e7tveRozyuDWzk\nna1n84FU3rh8gRtjRqN4eRG4awuLrX48N31mm1z/QaUYjZTJakWGZE65swcpw0xOTg6Hjr/K8FGd\nXPbtTMjjsYU/Y83aPzMuvtJlqc6W9Xl86fGf1+uJHDqcTJltK1EDby5Bqqy0sXXTKeYvujnTOfNC\nId7KPIYMbjhN5+7dm3Ba96BF3TxXxulCqBpLbOzsFv29AGvW/p7Yqa69foCUHSYWL2j7pfMt/Uy9\ntW0L74R3xOjVs26b9VQ631YszLmLpA/HTp8i8dwZvIAlY2MJ7dh4tazbbdu3h5c7BtZbQwtQvGMH\n3ppWl+EKQL14iedy8vmSm+eqX1idnMhfOgZi1BZIqEhLQ/Hzw7tv/SU+5rQ0fhnQkdeOH+HqvDl1\nn03D6aTn5+v5wegJbMpIp0qFocEdmTUu1u3sZMMwOKWfxma3M2RgdL1jqqqq+PY//8Ixk4ojwB+f\n8gpmBwbz/5auoKqqit9vWsfh2qVT1kuXsAQF4egQTEeHk0fCIlgUG9ese9lUV7Ku8cLxQ1SOq1/K\nU72QyY+rDaaMbLx29cMqLCzgjs8HpAcs7omwsDCK8iMoLyuvq5AEkHWthNDgYaiqytzZX+ajT35L\npFZJpBZCXm4ZB1MriB37jMsw4IjhEzl0WGFXwi5MlhJycnMJCFCYPa/+s75evYPZk7i/wQDsdDq5\nkp3C5On1v/j7RwWzM2E3TufMFi/rUE0OcHl6WLtPvb8Khj077REi9u1h07YdFJpMhNkdLI7UGD/E\ndYi/urqaP25ax0GHjUpVpZdhsEIbxKiBrkUrYqIGEhPV8l7b/twbqLXZo77grKxEUZR6wRfA2bMH\nn2ecYbnD0WB2qY03sjCG3mynz5AhlCQmYr90Cb+JEzEcDqy7khhTUMSA5U/xevce/G3Hdk4rBgoK\n0ai8uPAxAgICidbuXBxFURSi3WQCMwyDZb//NddnzsD7lkld63JyKF75Fr948jn++4sZ1TsTeHNK\nX5w9ewCQA+hXr5KfsJnn70GP9IMDqVTEx7p8sp29e7F5e6IE4LsgAVjcM0sW/QfrNr5Fle0cZnM1\ndpsfYR2HM3VKzbCkt7c3T634MXrGSQ4kH6NDh3BWLJvcYAAcMTyWEcNjCQsL4B//+iETJrufmKIo\nDY/qnDt3lp593O/vE6mQkXGaqBYGCJUQbDbX5Bs2mwOz6joS0JYqKir4ODmRQls1I7p1Z3zM8Du+\nZ+aY8TTl6/w/P3qPY7Nm1M2YPgpkHDrMy4rCyAGtO0RqdjNhq+rMGbwHuB/GvdqjG5cvX6JXA8+D\ns82ugTkgPh5HSQnhv/8DuT7eVMyeTVJYGGm7tjDP5MUPF7b+ksAdB/ZxsVsXgm6bUW0OCyPR15uS\nkmICAgKx2+18VpiPc2T9H0JG166s1zN4srq61esCF6tKg6sJimQN8l2RACzuGZPJxMJ5LwA11XEa\n6oVo/aPR+rv2lhqjKGE4HIUulaIKCyoICWr4mZq3tzdVue6HiSsqHHQKanllnimTl/Dpul8wY07Y\nzSFKw2DHljwWzXuxxee9W0nHjvDaudPkx01E9fLi48uXGfTum7z62BN3nYVqz7HDHBs6uC74fqF8\nxHDeT9jR6gF43sDBbD55Cmf0zfOagoKw5+Vh6ew6s9ynqIjAPg1/HoIdTsrdbHfm5JA/cADO2bP5\n4qlrycSJrLpyha57U5jTyuuWU85lYOnufn21Om4sKceOMis2josXM7naqwfuQmy21p+TGacZNmhI\nq7atm8mMs6rK7UzsLncxg13IOmDRRhoKvi01NX4pWzfk4nTeDKZVVTb2JNqYMKHhXLrdu/cg66qb\ntJHA1Ute9OzZq8Vt8vcPYOa075G8zULS9jyStueRst3CrOnf99iM0erqan5/Np3C6dPqvkCV7t05\nMWcmr21a1+Tz2O127HbXYfRDV6+g9Ozp5h1w2dz6Xy8D+kayJL8I9eSpum1mb2/YtcvlWMMwsJ84\nwavJO0k8eMDt+SZ6++IscX1G7rV+I7YZM1y2G926sSX7WqNtrKl0lMqvNqzl9+s+5UpW48cDBFm9\ncBQXu93nyM6mS8eaWfUBAYF4FbnPb27JL6BjI7PTW2pF3BTCt7sWvfPbt4/lQ0e0+vUeJtIDFvel\ngIBAFs17iR27PsJhZKOg4mXuwYrly+74DHd4zKMkJrzLhPhQLBYTNpuD3Ym5DI/50l23KyysE0sW\nf+uuz9NaPty2rSZ94W3bFYuFI4bjju8/feE8fzu8n9MWEygKWrWdrw0fxYDaPMQBJhNGdbVLDxjA\n11Gz9nXlti3sKSumQlXp6TB4euQY+nTv0eK/6euz5xN/9gzrE5OxKQqjw8IJm7eYlz9eQ+70qahB\nQdhzcihJSiJg/nx2h4ay++JFFq9fy7fmLqx3rq/OnEvB2o9JCfSlJDoa9fp1+ulnCOvXj71m91+P\nxY38mLTZbHx31TscHzcaZcAEDMNgw8GDPKOfYkX8tAbft2LSVFa+9y+MuDiX4d7y5BSK42smknXq\n1ImBO3M46eYcUVeu0mN84+lRW8LPz4/fxE7mj1u3c8pqxrCY6VtexTNadLOWeglXMgu6HXmQZkHf\nS61xn0pLS9iVtBaHswRV8Sd+0qJmly28H7y/awv/GO7+ea//9p2sX7i0wffm5uXx5aQECqZNrbc9\nePtO/j5hMuFhYZSVlbE8YQPFU+t/8TvLy1l24AjZ5WXsmjAW5Za0i0HJKfxqQAxRvd1nkGqO0tIS\nfrbxc44EB1LSMQRLcgqOvDyqJ8XhO2pUXfYpAMvhI7zVf5DbZU+qWs36xD10D+/MYC2K9xI28/fB\nUfXK/n1hzPZEftXAc+A/rlvLx+NGugzXWvft5+3BI4hoJAHLyi0b+eXBvQQuWYK1SxccRUWU7tqF\nz9ChdDuVzqrFyzGZTFzKusZLO7ZwKS4WU3AwzuJiuiYl8/PYKfS9ix82TVFdXU3Hjn6UlNiadPzt\n1ckeJk2ZBS0BuB2RANw0cp+aLqfwOo+nn8YxyPUZe/TW7fz50cfdvKvGa59/wmeTYusFMahZejMv\nMYX/XPAoUFMH+A8Xz1IwMRbVywtF1xl95gJfGj6Kbxfl4BzgOjt4TMIOfrV4WbP+FrvdzpsJmzhU\nXYlNUejjMLhUWIC+eEG9NhZv3kzgTNfpY4ZhsCxpD1+/rRcMrp+p6upqnv74fbLmzal3nFfacX7e\noROjBrrPtPXs2o+4MNW1F2oYBkuS9vBNN9f+gsPhYO7aD8kLC8WRn4/q64vv6NEoJhPOoiJeunCV\nWRMn1R27fncymaXFdPPzZ8GEOMwN9Nhb253+/7Pb7fxh42ek2qspNpmJsNuZ26kLS2rb/rCQZUhC\nPOQG9uvH2M0JJPfuVa835330GMv7Nb5s5pqiuARfAEVVybolBeKU4SMZNyCaNcmJFNuqmdh/AIOW\nx/L6+rU4J01weT/AOVPzUigahsF/rnqbw4/UJOAASL9wAaMkBO/b2qg0MkTc1KtarVZ+M+URXtuc\nwEk/H2xeVnoXljBMUVl5I4dXMk7hYzgZZbbyHzPnYalNkFHpsFOycyc4HBgOB96DBmHt2hVFUbDd\nIS+5w+HA4eWF77Bhru329ye/rLTutclkYkFcfBP/mrb1v598QNLkuLr/TpnAXy5ewpmcyNKJ8Z5s\nWrsjAVjcV86dO82upFP4+oQxcmSsR4st3C9+tnQFf9u0jn3VlZSqCt0dBsv6D2DcHWbLBjjczxYH\n8L9t9quPjw8rZsyqt81LVTHs9nqF779gbebs2R0H93N4zKi6L3WA6sxM/ONck08YNpvb/MzWg4eY\n34y0l906R/DaY09QXl5OdXUV6Vcu89OCG1QOrUn8UgB8WlXFldXv8eoTz5Cdk8OVrCz8li1F9fbG\nMAzK9u6l4uRJgjSNcXcYHrZarfSqtpHhZp/PgYPMuosEKG3l8rWrpEaE1/vvBDVrstedTuCxBvJm\nP6wezsF5cd+prKzk3fd/QVb+SgYMy8Snw07e++DHXL58wdNNa/dUVeXrcxbw9qJlfLJgKb9fvOyO\nwRdgYdRAzCddp/uY0tOZ309z8476loyLxXdvqst2w25niNK8WfH7b2ShRkRgOJ1UpKVRduAAli5d\nqDp71uVYrwEDKP7XvzBsN59TKucvsKjSRtfa+rzN4evrS3BwBz44k14XfL+genlxOErjaPpJ/pi8\nA/WpJ+sqPymKgv/48WC302HtZ4wb4tqzvd0TffrjfexYvW1GTg7TK6oICWle1jBPSE47ii3G/Wcr\ny9+vVSpWPUgkAIv7wvqNbzBlppX+UTXVlTqF+zNjbkcSU/5FG81jeOjERA3khSongTt34aysxFlV\nRWDiLl4or2ZEA89Ab9WhQwjPB4Rg3be/7r+RMy8Pbd0GvjWjeSk/LU6DipMnKdm8GXNYGF6Rkdiu\nXKE0JaXu3IbdTtG6ddiuX8dn5kxKP/gA0zvvMGZzAr/AzNdnz687X0VFBdevZ7ldWtWQSw303Ix+\nkey9cI4TivveXcDUqVzz9+NGTs4drxE/dDgvd+jMqG076LYzkQHbd/LixWt8f/6jTW6nJ/XqHAFZ\nWW73+VdU3vW68weNDEGLds/hcIB6BYsl3GXfoKFmjqUdYGiMpMO7Fx6fNIUFFRVs2JMMwJxpc/Dx\ncb+O2p0lEycx7noWq3elUKGqDA4KYfaXnkNVVaqrq8k4e4aQ4GC6dOna6Hliu/Vg1fnTBM6+GbgD\npk7FlJaG6fU/o4wfR+758wTNm1fXA7U++SR2w6B8w6a6zF+VlZW8sv5TDvlYKQnuQKfUZKZ6+fCT\nJ5e7XPPq9SzeTU3hukklyAnOsjK3bXNWVBBsseKoct+7UywWbD168PG+3W4ngN1udHTLyyl62riY\nYfRe9Q6Zt6UFNWw2RhrKQzsjuiESgEW7V1lZiZeP++eRnSP8ObbvMkgAvmd8fHxYMtU1KUVTde0c\nwXfmLa637V8Jm9lQXsz1yL5Yzp9mYMpOfjAhnl5dXUvuAezOPI/PmDFUnDyJpVMnzGE1Fad8hwxh\nWHYu342M5vkbuVTd1sNSFIUTvXtx5sJ5+vXuw48+/YiDM6ejmM2oQC6wKjeXoLVreSL25jrdw3o6\n/3vuNEVTJtX1aktXrsTXTUaokJQUFs1ezP6Nn3HETdvL9+/Hd8QIqk+cbtZ9ux8pisKPY+N5ef1G\nMkeNQA0PR00/zdCz5/mvRmbcP6zk54ho93x9fSkvdT90deJYHjFDxrrdJzzLMAySDx/izxs/5+PE\nbdhqn8muSd7FO506kFlZQWV6OqU3stmHk29+vKpmtOM2n6Yk8faRg1SmpWEOCaH60iWKPvsMR20G\nq2KLGW9vH6o7hbm8F8DRuxenL2Vy7mImR3p1d5kUpoaGsrGgoF5WtX+eOEbxxPqT/PyWLaPyzTeh\n9rmzs7KS4IRtfK/vALy9vXk+Zjj2jZvqPRKpvnoVZ0kJ5vwCJvWJbNmNvM9E9ujJ248/xcsFZTyd\nnMqfO0bw2hNP4+UmleXDTnrAot1TFIXwsFFcvniY7j1vJnSoqKgmLzuMiEmND1+K1uV0OklI3cPV\nwnzG9h/AwMh+LseUlZXx7Y9WcmbMaJSJ43CUlvLhpx/wo6Gj2JSTRdHZAoIWLqwXDK+npvKXNR/x\nzcduDgefybzAK0f3E/i1r2IOqEmUYomIwBg+nKK1awletIhwh5MOHTrQsbCIXDfttWZkMLTfQHaf\nSMMxaqjbpUjXfXwoLy/D3z+A0tJSMvxch9kViwWvFStYmrQXrt2gg9WLRbMX1T3XHNS3H68UFPCD\nf75JdZ9eGHY75o4d8Rs7lmFbt/NJQAAvnz5ONQr9DBhi9eKYrYpsVSHYaTC9YycejWv9TFaeoCgK\n8aPGEO/phrRzEoDFfSE+bj5JySo79QNYrGXYbBa8zH147NHnPN20h8rpC+f5WWoyl8eORh2s8a6u\nM+z9Pfzfo4/X9XAyLmbytQ9X4vjKC3Vrck3+/uTMmsmvN27i+vXr+M2Z7dIT9Rs7lm3/fptv3rLt\noyMHcERE1AXfLyiKgle/fhgbN/HYsNGYTCbiLV58VFiIGnwzH7JhszHs6nW6T5zOwJISyMyESNee\naEhlJT4+vnXnVhqa2Od0EtmjJzMmTHS7O27kaFZFdOHf+/eSaTXjU1zKiKMn2A0qHJ4AABbnSURB\nVKnAlelT6nrUew4eZJ+3N16Dap71XgdOZ2VxY9M6Xpw1z/21xQNHArC4b8RNnAvMpWNHP/Ly3E+I\nEfeOYRj8IjWZq3Nn1z27MjSNQ71789sNn/GjxUspLS3lpdQkiiL7EOAmIcaV0aOo/vsbeIe7TqgD\nsN221KbAZkMNdE0HCeDdvz/9tiUSs+wpAL4xez6ODZ+xy2HjRudOBOXlM6K8sq584BAtiqj3/s3p\nvn3rDS07KyqY5OVVVzDEz8+P/qXlbvMtdzp4mMlzF7vZc5NhGKgKWFHwNgzOXMzk8qL5qLdUyLLn\n5OA7q/66aSIi2JBxhqfKyvBzkwJTPHgkAIv7jsyk9IzEA/u4OHqka2EHq5WDODAMg/eSdnIjbiLK\n4cNuz6GEhNBJUShqIEFHF9/65SB7eftgv37d7bkqz5zBp+vNvM6KovDtuQt5sbqaGzeyCRk8Ct/b\nzvfyI3N5eeNGTvbqiaNbV3xP64wtLOYnX3me/PybhQlfHD6KH23fSeHkSXXZwKxHj/F05651Wa/c\nOXn+LD9MT6NoanzdNse1a5SlpBD4SE2VLkdeHmY3pRMBiobGsDEpkcdmzXG7XzxYJAAL4WGGYeB0\nOlu9ZGNru5SbgxLlvoBCmdWK3W4ny3Bg8vdvcMmO9dBhfvP8V/jKtu0ws37ZSGdxMYMc8Lt1n1Kg\nQDgKj44ayxt//yOOoiJMQUF1xxoOB1VnzhAQ5jrxymq10q2b+9q64aGh/GruIn69ehXHU/cREhpK\nt45h9SZgQc3z3H8GdeCdXbu4rigEGQZLBsUQdYeJVG8eO0TRtCn1tpm6dMF09Sr2nBzMYWGoPj44\ny91VIQZ7QQF/uHGFc5+u5gcLl0jWqAecBGAhPCQvL5ftiW+jqNdRVCeGI4QB/WcwaNAoTzfNrUmD\nY3jn+HEcQ1wzHUVUVmGxWAh2GhhOJ+bwcCp1HW/tZsYsR1ER0wqK0aZo/KiwiD9t205RbQEH08mT\n9D+SxtYe3SiLHY+iqhg2G9sSdzE1rDM7d+9G9fbG2qMHtuxsHHl5+I8fz7BLd661e6vS0hJeXLua\nS4vmo5hMFAAnMzL4+Mc/ZrA2kHCnwZNjY+kcHk5YaGizE2C4SyMJ4DtyJKXbtxMwbRqqnx+O/Hy3\n6TIrjx8ncNEiNhUU0HX7Vp6c1nBta3H/kwAshAfY7XbWbfwtsxaEoSg30yMePbgWS4YPWv/2l4ih\nV/cejNm9i5R+/erl+lXPnWdhRE2Pc8W4iSTsTkKZOJGKY8co3rQJxWKB0lKmVzn50fNfAWDGyNFM\njB7MmuRESm02Jg8cxP+GXaU8bmLdLGXFYqFg+jQ6fb6BoVU2zsbFYc/JwWfwYBQvLwZt2MyiFc80\n6294c+c2Ls2ZVTc5rPzQIQCqvvpVDlK7dGpXEj/tH80wbUCz75GloR6rzYbX2fM4J1ahWCwE+fig\n/Ptt7IsW1pQUrKigdOdOvKOja4JySAjJJUd5stktEPcTCcBCeEBSykYmTg106QENHdmRpISt7TIA\nA7y8ZDl/3PQ5qbZqSkwqXexO5kd0Y0HtrOCw0FB+0LU3f92ylcuDB2Hp3p2wo2k82q0XX5o8vd65\nbi3gsD/tKJcGRbv9QjoT0YmVUTF8eugAJ5121MxLxFi8eOaJp5tdgk83HHXPng27HXtubt2zWah5\njlwcP4l/bN3OX1sQgKOdBkluerYBe/by1jNfIeHwQSrtNuZMmEpox468+PrvONSjK5jN+E+dWi/J\nR4lJ5jo86FoUgDVNU4G/AEOAKuAFXdfPtWbDhHiQlZVlERDgPrmIam6/tY7NZjPfq81q5W4IFSAu\nZhixg2PYn3aUsoI8YmfOv2MShqrqavD3d7vPabZgMpn5RhPSON6x/bcsL6o4fhzfESPcHqcHBVBU\nVEhQULDb/Q35dvw0Lny2lkvTp6L6+WEYBtaDh3gmOIywsDCeuK1i1MKRozndJQw1NNTlXBH2hqtR\niQdDS39iLQSsuq6PB/4beLX1miTEQ8DwwtFAuT+nw9rGjWmZxiYIqarK2KHDmTp2fJMyII2NGUZ4\n2gm3+3rfyCG8gWVLzTXSxx9HaW1d3caKeCi0qMhHaEhH3lz2JF89fpr4XSnMTUzhjf6DGixGP3Nc\nLJEpuzFumwTmnZbGMm1gs68v7i8tHYKeAGwG0HV9n6ZpI1uvSUI8+GInzCdx9y+ZEFd/OcqN7DJC\nQ+5ctu5BY7FYWBoSxhsZGdj796/b7nPkKE/26d/IO5vniakzOLLqbQ6OG4PPkCGUbN9ebwj6C/0K\niwkO7tCia1itVlZMn9mkY1VV5fcLHuPXWzeSpkKV2UIvm43lfTXGRA9u0fXF/aOlATgQKL7ltUPT\nNFXXdRkzEaIJOnQIoUfEPHZsXc/ocUH4+Fo5tD8XR1UkC+bN9XTzPGJZ3GS6HzvCuu2JFKgqYQ4n\nSwcNYXATag83lclk4tUVz5Kwbw+pp3Qys29w4fARjOE1P3oMwyAwZTdfHnjnesmtJTAwiJ8vWY5h\nGDgcjmY/127PzmReYMOJYxjAjKhoot2kLX2YKS0ZZtE07VUgVdf11bWvL+u67n7hXQ0p2CqEGzab\nje07NlJeVkJc3ExC3TwLFPfWkfR03jt0iEJVJdww+Ep8PD27Sn7xu/XKhx/yoY8P9tp0myZdZ15u\nLr948qGZ233HRdwt/am1G5gHrNY0bSyQdqc35OS034kl7UVYWIDcpyZ40O7TiOE1iRsMo/X/P3nQ\n7tW9UFlqI8JqpVOVgyUTJuFrDZR71oimfKaSDx/ivdBQ6N27bptD0/g0KIj+n21k9nj3ubQfJGFh\nAXc8pqUB+FNguqZpu2tfP9vC8wghhEcYhsEvPvmQHV3DcY4ciWGzsTopgReCwlgcG+fp5t3Xtl3O\nhCmu91Dp3JmkUxnMbvsmtUstCsC6rhvAi63cFiGEaDOrdiSwdfRw1A41k60Ui4XyuDj+lrqPMdez\n6No54g5nEA2pamTwtVKya9aRld5CiIfS7pKiuuB7q6oxo/nowF4PtOjB0d/qhbOy0mW7YbfTR2nf\nOc/b0oMz3U4I0eY2H0hlzeVMLqsKAU6DkaqZ785Z0GjFoOY4fPI4569nETsohs5NXAtcUJDP6r0p\nVDqdxPeLYogW5fa4igYyTSmKQrlU3LorT8RPI3H1e1ycP7eumpRhGERs2sKz8xov5/gwkQAshGiR\nzQdS+a3qwD59KgAVwPqqKm6sfp/fPvH0XZ37wpXL/DxlJ2ejB2DEDOQfx48wLrmA/1m0tNGqUR8n\n7+JfpQWUjx+LYjLxqZ7B+A/e5WdLV7iUsexmc3DezTmcBQVEBwS52SOaytvbm9cXLOEv27dySnFi\nKAqaU+FrM+cREBDo6ea1GxKAhRAtsuZyZl3w/YLq5cXhyD6knzvLgL6Nl+67ndPpZE3SDvYVFZJ6\nORPT00+jULOWo3rkCHaWlxO88TO+20APKiv7Ov+oLKE6dkLd+g9D609ylwje3raZZ2fUn/rz1Mgx\nHEvZQ1Hs+LpthsNBZGIS81bIvNK7FRgYxH8veszTzWjXJAALIVrkiup+No1zQBR7UlIbDcDnL5yj\nvKKSAVoUJpMJwzD4wap3SI2bQNUFJ5aBj3B7P1f19WWvrYrvNnDOD/enUjVpvMviSzUggNTyUpel\nGpE9evKK3ca/E3ZwwaKi2hwMQeU7ix9v97WZxYNBArAQokX8nQbuyso7CgsJ93c/zHhET+dPaYc5\n26sHDh8fun62mqVhEfibTaSOG40pOBhHXh6+w9yn4ywymXA6nS7DyQCVasP5qSsbeN4b3SeS3/SJ\nvOfrpR0OB/n5+QQFBWG13h+5vsW9JwFYCNEio1Qz66qq6pXQA+i6N5VZjz7hcnxJSTE/PXmUwpkz\nUKlZgnGjZ0/+puv0PXEK06BFAFj79KFS1/HWXFNQRtgdboMvQEyHjmzIycEUFuayr6fNM1lyDcPg\nzxs+Y01+DuXdukL2DTpfvcrrTzxLty5dPNIm0X7IVD8hRIt8Z84Cxmzdjpp+Gqjp+XbeuImXho12\nO4S7ctcOCuJdqwLZNY2LxUV1r7369KHy1CkMu73eccrly8wO63z72+vMHBfLwOTdGDZb/fNv2ky/\nJlRkuhf+umk9Hwzsj3PRQrxHjcJ77hzyn3max959g+zcXI+0SbQf0gMWQrSIxWLhN088zelzZ9mT\nkkon/0BmLVnR4PPTHAyUBpYnWRWF8uvXUTvXBNjAWbMo3rwZxcsLHx8fepZVMDe0E0vjpzXYHkVR\n+MOyJ3l13RrWFeZT3TEEHA68B0XzT5OJa2s+4geLl979H95EdrudzwtzMYeNrbdd9fLCPmoUf9iw\nlleefqHN2iPaHwnAQoi7EtU3kqgmzHjupJgwbDa3QTiqa3fMB46QMm4Uamgoqrc3/vHxDNi0lV9M\nnE5oaGij9Ye/4O3tjdlixWvpY3jfNlS9ubiYOWcyGNSv9cobNiY/P5/iiAjcPfH1HjCAtKN3TKEv\nHnASgIUQbeJLkyazZet6CqbX78VaT59mUb8oxg4awobdyew5fgonMMTHj6VPPd/s8nynFKMu+cOt\njKgoNiemtFkADgoKwpSd7Xaf7dIlAoNkPezDTgKwEKJN+PsH8NMhI/jT5q3oXTpj9/Gh14WLLIvo\nzrhRMQDMjY3jXlZDbkovurV4eXkxqqKSg7dNVDMMg8r0dOI6d2uztoj2SQKwEKLNDInszxuR/bl2\n7SoVFRX0XjS2wVnNLTXAUMh0Ol16wYqu84g2sFWvdSe/XPEsj7/+KleGDMZ70CCqL16kMi2N0Q6D\nFx6RmkAPOwnAQog216XLvSt4/+LkaZxYt4bLsx5BqV1za1y7xsxL1xi0OPaeXdcdq9XKmu+9RPK+\nvby76iMCg4OYMXg408eMb9PeuGifFMMw2uI6hhS4vjMpnt40cp+a7mG9V+Xl5by7cxsZDhtWw2By\neAQzxk5o8PiH4T5lZ2djsZgJCel4V+d5GO5VawgLC7jjLyzpAQshHji+vr58dc58TzejXdh55BDv\nnNO5EN4J1VaNllfIN0eMZmCf5uXqFq1PArAQQjygTpzN4NfFeVQ8Mh0AJ5AO/ChhG++EdZLKRB4m\nmbCEEPeF/Pw8Tp1Op7zcXQZq4c5HJ9KoGO6aVzt/cjzv7NrhgRaJW0kPWAjRrpWUFPPTjZ9zNLQD\n5eHhdNyxiUlO+P68xTKR6Q5uNFCxSjGbyaZN5v+IRkgAFkK0az9ct4a0ObNQVBUrUNKzJ+uKi/Ha\n+DnfnLPA081r1zo0MMnWcDoJbpsJuKIRMgQthGi3Tp8/y4nIvq5regMD2VVVgdPpmSpH94t5vSMx\nZ2S4bPffvYcVY9p2SZZwJQFYCNFuHT2TgbOf+9m6BQH+lJeXtXGL7i/jhwzly2XVdNyxE3tODvYr\nV+iyZSs/6NKT8E6dPN28h54MQQsh2q2hkf1Rz57FiIpy2RdSWoavr58HWnV/WRY3mcU2G/uOHcHb\ny4sRjz4hz87bCekBCyHarai+kQw6cw7jtqFmo6SEiRavVk9j+aCyWCzEjhzNyMExEnzbEekBCyHa\ntV/MXcRPN67jWKcQysPDCcnMJM5m8M0Fj3q6aULcFQnAQoh2LTAwiFcf/xK5ublkZV+nT/xM/Pxk\n6Fnc/yQACyHuC6GhoYSGhnq6GUK0GnmAIoQQQniA9ICFEOIuJB8+xLbLmVQpCgO8vHk8fipeXl6e\nbpa4D0gAFkKIFnrt80/4rFd3lClxAOwpLyfxw3d5/dHl8pxa3JEMQQshRAuknzvL+vAwlN6967ap\nvr6cnz+Xv27b5MGWiftFs3vAmqYFASuBAMAKfE/X9dTWbpgQQrRnm9JP4Jw0wWW7YjJxUgodiCZo\nSQ/4u0CCruvxwDPAn1uzQUIIcT9oLAu1ZKgWTdGSAPw74B+1/7YAFa3XHCGEuD9M7dsPzp5z2W4Y\nBlHSARZNoBiNlKTSNO154Du3bX5G1/VDmqZ1BjYC39Z1PfkO15GPoxDigfNfb73FhuholNr1yYbd\nTs+EBFYuX07HkBAPt0542B1zfjYagBuiadpgYBXwfV3XtzThLUZOTkmzr/OwCQsLQO7Tncl9ajq5\nV03T0vtkGAafpySxOz+HKkUhUjHx7OSp+PsH3INWtg/ymWqasLCAOwbglkzCGgisBh7Tdf14Sxom\nhBAPAkVRWDBxEgs83RBxX2rJOuBXqJn9/EdN0wAKdV1f1KqtEkIIIR5wzQ7Auq4vvBcNEUIIIR4m\nkohDCCGE8AAJwEIIIYQHSAAWQgghPEACsBBCCOEBEoCFEEIID5AALIQQQniABGAhhBDCAyQACyGE\nEB4gAVgIIYTwAAnAQgghhAdIABZCCCE8QAKwEEII4QESgIUQQggPkAAshBBCeIAEYCGEEMIDJAAL\nIYQQHiABWAghhPAACcBCCCGEB0gAFkIIITxAArAQQgjhARKAhRBCCA+QACyEEEJ4gARgIYQQwgMk\nAAshhBAeIAFYCCGE8AAJwEIIIYQHSAAWQgghPEACsBBCCOEBEoCFEEIID5AALIQQQniAuaVv1DQt\nCkgFOum6Xt16TRJCCCEefC3qAWuaFgi8ClS2bnOEEEKIh0OzA7CmaQrwd+AloKLVWySEEEI8BBod\ngtY07XngO7dtvgh8oOt6mqZpAMo9apsQQgjxwFIMw2jWGzRNOwNcqX05Ftin63p8K7dLCCGEeKA1\nOwDfStO0C4Amk7CEEEKI5rnbZUgtj95CCCHEQ+yuesBCCCGEaBlJxCGEEEJ4gARgIYQQwgMkAAsh\nhBAeIAFYCCGE8IAW54JuKk3TTMBrwAjACvyPruub7/V172eSZ7txmqYFASuBAGo+U9/TdT3Vs61q\nXzRNU4G/AEOAKuAFXdfPebZV7Y+maRbgTaAn4AX8XNf1dZ5tVfulaVon4BAwVdf1DE+3p73SNO0l\nYB5gAV7Xdf1td8e1RQ/4ScCs63ossBAY0AbXvG9Jnu0m+S6QUJsA5hngzx5tTfu0ELDquj4e+G9q\nPlPC1QogR9f1OGAm8LqH29Nu1f5Y+TtQ5um2tGeapsUD42r/34sH+jR0bFsE4BnAVU3T1gNvAJ+1\nwTXvS5Jnu8l+B/yj9t8W5F65MwHYDKDr+j5gpGeb026tBv6n9t8qYPdgW9q73wB/BbI83ZB2bgZw\nXNO0tcA64POGDmzVIegGckfnABW6rs/VNC0OeAuY1JrXvR9Jnu2maeA+PaPr+iFN0zoD7wLfbvuW\ntXuBQPEtrx2apqm6rjs91aD2SNf1MgBN0wKoCcY/8myL2idN056hZqRga+3w6kP/3dSIMKA7MJea\n3u/nQJS7A+95Ig5N01YBq3VdX1P7OkvX9Yh7etH7lOTZbjpN0wYDq4Dv67q+xdPtaW80TXsVSNV1\nfXXt68u6rnf3cLPaJU3TugNrgD/ruv5vDzenXdI0bRc1mQ8NYCigAwt0Xc/2aMPaIU3T/o+aHyuv\n1b4+CkzTdT339mPv+SQsIAWYDazRNC2Gml6ecEPX9X5f/Ls2z/YMDzan3dI0bSA1vZXHdF0/7un2\ntFO7qZkEslrTtLFAmofb0y5pmhYObAW+ruv6Tk+3p73Sdb1u1FLTtJ3AVyX4NiiFmlG51zRN6wL4\nAXnuDmyLAPwG8FdN0/bWvv5aG1zzQSA5Qhv2CjWzn/9YO1RfqOv6Is82qd35FJiuadru2tfPerIx\n7dgPgSDgfzRN++JZ8Cxd12USpGgRXdc3aJoWp2nafmrmFXxd13W33+eSC1oIIYTwAEnEIYQQQniA\nBGAhhBDCAyQACyGEEB4gAVgIIYTwAAnAQgghhAdIABZCCCE8QAKwEEII4QH/P0XpIGXivBTJAAAA\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cbc3c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "\n",
    "X, y = make_blobs(n_samples=300, centers=4,\n",
    "                  random_state=0, cluster_std=1.0)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='rainbow');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vzRK74EJZ/Ik5RuYhM9izOwCuYeMLzDktP7nVEYLR+EusYvMmfkjnw1HB3Ox2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G136QIaq64JbTiGdACSkhKwXF3bkEg0Gqp9GAa4g+CX0aXkdIrzuvW/bo5CKN3LT8ES6dbV1ZQI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\nEERHYNFFEARBEB2BRRdBEARBdMT/AzvtWUsp3uW2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cd3ccd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# We have some convenience functions in the repository that help \n",
    "from fig_code import visualize_tree, plot_tree_interactive\n",
    "\n",
    "# Now using IPython's ``interact`` (available in IPython 2.0+, and requires a live kernel) we can view the decision tree splits:\n",
    "plot_tree_interactive(X, y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that at each increase in depth, every node is split in two **except** those nodes which contain only a single class.\n",
    "The result is a very fast **non-parametric** classification, and can be extremely useful in practice.\n",
    "\n",
    "**Question: Do you see any problems with this?**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Decision Trees and over-fitting\n",
    "\n",
    "One issue with decision trees is that it is very easy to create trees which **over-fit** the data. That is, they are flexible enough that they can learn the structure of the noise in the data rather than the signal! For example, take a look at two trees built on two subsets of this dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dcd7550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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uQttI4FP45BMYHw0eVqDeh/RXi+572wNcVsN9vSDFmOdRX5wOkHUI8sP1HrvK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SwvoxOSDtvx0WmGQ1ss9wAg1lumq6vBrddfaUbfPmPRVmujz157bLbKtuRcF/PBg0aCy31DmZVV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\ndu0Z2bBhV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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dcd7510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dcd7990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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CHQ5gVwa7ZkJS9Y+Oyqa0LTfNGEjOhdVfwf3noLwjbH0VLlW/r5ajZ6ERGiNq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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e44ae50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeClassifier\n",
    "clf = DecisionTreeClassifier()\n",
    "\n",
    "plt.figure()\n",
    "visualize_tree(clf, X[:200], y[:200], boundaries=False)\n",
    "plt.figure()\n",
    "visualize_tree(clf, X[-200:], y[-200:], boundaries=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The details of the classifications are completely different! That is an indication of **over-fitting**: when you predict the value for a new point, the result is more reflective of the noise in the model rather than the signal."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ensembles of Estimators: Random Forests\n",
    "\n",
    "One possible way to address over-fitting is to use an **Ensemble Method**: this is a meta-estimator which essentially averages the results of many individual estimators which over-fit the data. Somewhat surprisingly, the resulting estimates are much more robust and accurate than the individual estimates which make them up!\n",
    "\n",
    "One of the most common ensemble methods is the **Random Forest**, in which the ensemble is made up of many decision trees which are in some way perturbed.\n",
    "\n",
    "There are volumes of theory and precedent about how to randomize these trees, but as an example, let's imagine an ensemble of estimators fit on subsets of the data. We can get an idea of what these might look like as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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62UL7ZpA6AeL01fZ02L8V3p4GD3WHjmpQtaa0tJG7NfzfH3B4vM52B2DCgrId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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dce33d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def fit_randomized_tree(random_state=0):\n",
    "    X, y = make_blobs(n_samples=300, centers=4,\n",
    "                      random_state=0, cluster_std=2.0)\n",
    "    clf = DecisionTreeClassifier(max_depth=15)\n",
    "    \n",
    "    rng = np.random.RandomState(random_state)\n",
    "    i = np.arange(len(y))\n",
    "    rng.shuffle(i)\n",
    "    visualize_tree(clf, X[i[:250]], y[i[:250]], boundaries=False,\n",
    "                   xlim=(X[:, 0].min(), X[:, 0].max()),\n",
    "                   ylim=(X[:, 1].min(), X[:, 1].max()))\n",
    "    \n",
    "from IPython.html.widgets import interact\n",
    "interact(fit_randomized_tree, random_state=[0, 100]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "See how the details of the model change as a function of the sample, while the larger characteristics remain the same!\n",
    "The random forest classifier will do something similar to this, but use a combined version of all these trees to arrive at a final answer:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ODd6bLnbBhdL4E3OOzEVmsGc3C65k7XP89ue85FaHCmbjL7CM9ev4Pp0PRwTP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\nFyF0auX6Asmeeu1xJQoa7I/pPE4CcLw4JSA8wl1nprmfv73X1k0nbfc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PjvDV/CEQHulh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0lT4jt1Dcwew0ZGSrdtunIrJs63r307juNw93bFzTkLenVodO/ab86nc7i0dCaL4lZRrsjv3sNt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\nqtFMBwQRAwBYFApc/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GJr5TRrmzw1wXxg3+1Nt2+W9mUwyLy6OpOSwSRLl65My4VXRFi3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\n3Z+n4ucHcQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x100431790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "clf = RandomForestClassifier(n_estimators=100, random_state=0, n_jobs=-1)\n",
    "visualize_tree(clf, X, y, boundaries=False);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By averaging over 100 randomly perturbed models, we end up with an overall model which is a much better fit to our data!\n",
    "\n",
    "*(Note: above we randomized the model through sub-sampling... Random Forests use more sophisticated means of randomization, which you can read about in, e.g. the [scikit-learn documentation](http://scikit-learn.org/stable/modules/ensemble.html#forest)*)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Not good for random forest:\n",
    "lots of 0, few 1\n",
    "structured data like images, neural network might be better\n",
    "small data, might overfit\n",
    "high dimensional data, linear model might work better"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random Forest Regressor"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Above we were considering random forests within the context of classification.\n",
    "Random forests can also be made to work in the case of regression (that is, continuous rather than categorical variables). The estimator to use for this is ``sklearn.ensemble.RandomForestRegressor``.\n",
    "\n",
    "Let's quickly demonstrate how this can be used:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AACifvmFsjLlH0ie63r7LWvsdY8xeSb8r6eN5FQ4AAJ/ktVJX3zC21j4u6fHu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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110b05d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor\n",
    "\n",
    "x = 10 * np.random.rand(100)\n",
    "\n",
    "def model(x, sigma=0.3):\n",
    "    fast_oscillation = np.sin(5 * x)\n",
    "    slow_oscillation = np.sin(0.5 * x)\n",
    "    noise = sigma * np.random.randn(len(x))\n",
    "\n",
    "    return slow_oscillation + fast_oscillation + noise\n",
    "\n",
    "y = model(x)\n",
    "plt.errorbar(x, y, 0.3, fmt='o');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Q+W58MtWN15w15nLPL1HHf5pv/RmN73snnla1M9xiE+Niz22NBDpt3bRXEAjG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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110d71cd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xfit = np.linspace(0, 10, 1000)\n",
    "yfit = RandomForestRegressor(100).fit(x[:, None], y).predict(xfit[:, None])\n",
    "ytrue = model(xfit, 0)\n",
    "\n",
    "plt.errorbar(x, y, 0.3, fmt='o')\n",
    "plt.plot(xfit, yfit, '-r');\n",
    "plt.plot(xfit, ytrue, '-k', alpha=0.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see, the non-parametric random forest model is flexible enough to fit the multi-period data, without us even specifying a multi-period model!\n",
    "\n",
    "Tradeoff between simplicity and thinking about what your data is.\n",
    "\n",
    "Feature engineering is important, need to know your domain: Fourier transform frequency distribution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random Forest Limitations\n",
    "\n",
    "The following data scenarios are not well suited for random forests:\n",
    "* y: lots of 0, few 1\n",
    "* Structured data like images where a neural network might be better\n",
    "* Small data size which might lead to overfitting\n",
    "* High dimensional data where a linear model might work better"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
